Free Printable Radicals and Functions Practice

1.

a)

x = 49

b)

x = 53

c)

x = 45

d)

x = 18

2.

a)

36

b)

18

c)

-18

d)

27

3.

a)

x = 2

b)

x = 4

c)

x = 7

d)

x = 9

4.

a)

x = -6

b)

x = 3

c)

x = -3

d)

x = 5±

5.

Solve.

a)

no solution

b)

6

c)

3

d)

4

6.

Solve

a)

-14

b)

14

c)

no solution

d)

28

7.

a)

9

b)

-9

c)

21

d)

-21

8.

a)

9

b)

-9

c)

21

d)

-21

9.

a)

5

b)

33

c)

85

d)

21

10.

Solve

$\sqrt[]{4k-11}+15=2$

a)

$k=29$

b)

$k=45$

c)

$k=15$

d)

No Solution

11.

Solve

$\sqrt[]{5y-15}=y-3$

a)

$y=8$

b)

$y=3$

c)

$y=3,\ 8$

d)

No Solution

12.

Solve for x. $\sqrt{8x+8}-20=-12$

(a)

13.

Solve for x: $\sqrt{3x+37}+19=27$

(a)

14.

Solve for all possible values of x: $\sqrt{14-5x}=x-4$

(a)

15.

Solve for all possible values of x: $\sqrt{9x-23}=x-1$

a)

3

b)

8

c)

3 and 8

d)

No Solution

16.

Solve for all possible values of x: $\sqrt{3x+13}=x+1$

(a)

17.

Solve for all possible values of x: $\sqrt{2x-6}=x-3$

(a)

18.

Solve for all values of x: $\sqrt{x}-10=\sqrt{x-6}$

(a)

19.

Solve for all values of x: $\sqrt{x}+1=\sqrt{x+6}$

(a)

20.

Solve for all values of x: $\sqrt{x}-2=\sqrt{x-7}$

(a)

21.

Solve for all values of x: $\sqrt{x}-2=\sqrt{x-6}$

a)

2.5

b)

6.25

c)

2.5 and 6.25

d)

No Solution

22.

Change to rational exponent form.

a)

$x$

b)

$x^{12}$

c)

$x^{\frac{4}{3}}$

d)

$x^{\frac{3}{4}}$

23.

To undo a square root in an equation, you need to...

a)

multiply both sides by 2

b)

square both sides

c)

take the square root of both sides

d)

divide both sides by 2

24.

What should be the first step you take to solve the equation below?

$\left(x-2\right)^{\frac{1}{3}}=5$

a)

Divide both sides by 3

b)

Add 2 to both sides

c)

Cube root both sides

d)

Raise both sides to the power of 3

25.

Solve the radical equation. Don't forget to check your answers!

a)

x = -6

b)

x = 3

c)

x = 7/3

d)

x = -5

26.

$\left(2x-8\right)^{\frac{2}{3}}=4$ Solve the equation for x.

a)

x = 8

b)

x = 0

c)

x = 7

d)

no solution

27.

Solve for x:

x^3/2 + 7 = 71

a)

2

b)

4

c)

16

d)

8

28.

Name the parent function.

a)

cube root

b)

quadratic

c)

cubic

d)

square root

e)

linear

29.

Name the parent function.

a)

cube root

b)

quadratic

c)

cubic

d)

square root

e)

linear

30.

What is the domain of the function in this graph?

a)

x ≤ 3

b)

x ≥ 3

c)

x ≤ 0

d)

x ≥ 0

31.

What is the range of the function in this graph?

a)

y ≤ 3

b)

y ≥ 3

c)

y ≤ 0

d)

y ≥ 0

32.

What is the domain of this graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x ≥ 0

d)

x ≤ 0

33.

What is the range of this graph?

a)

y ≥ -1

b)

y ≤ -1

c)

y ≥ 0

d)

y ≤ 0

34.

What are the transformations of this function compared to the parent function?

a)

Translated down 2

b)

Translated up 2

c)

Translated left 2

d)

Translated right 2

35.

Which equation moves 4 down and left 3?

a)

$y=\sqrt{x-4}+3$

b)

$y=\sqrt{x+4}-3$

c)

$y=\sqrt{x-3}-4$

d)

$y=\sqrt{x+3}-4$

36.

Describe the transformation.

a)

Left 1 unit, Reflect over x-axis, Up 2 units

b)

Left 1 unit, Reflect over y-axis, Down 2 units

c)

Right 1 unit, Reflect over x-axis, Up 2 units

d)

Right 1 unit, Reflect over y-axis, Up 2 units

37.

Which of the following graphs matches the function:

$y=\sqrt[]{x-4}+2$

a)

b)

c)

d)

38.

Match the correct equation with the given graph.

a)

y = √(x) + 2

b)

y = √(x) - 2

c)

y = √(x + 2)

d)

y = √(x - 2)

39.

a)

y = 2 √(x) - 4

b)

y = - √(x - 4)

c)

y = 2 √(x)

d)

y = 2 √(x) + 4

40.

Identify the Range

a)

y ≤ 6

b)

All Real Numbers

c)

x ≥ 6

d)

y ≤ 3

41.

What is the domain of the graph of the radical function?

a)

(-infinity, infinity)

b)

(-7, infinity)

c)

(0, infinity)

d)

(4, infinity)

42.

Which graph is f(x) = - (x-5)^1/3 ?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

43.

Which graph is f(x) = - (x+2)^1/3 +6?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

44.

$y=-\sqrt{x+2}-3$ State the domain and range.

a)

$x\ge0$

b)

$x\ge2$

c)

$y\le-3$

d)

$y\ge-3$

e)

$x\ge-2$

45.

$y=\sqrt{x}+4$ State the domain and range.

a)

$x\ge0$

b)

$x\ge4$

c)

$x\ge-4$

d)

$y\ge0$

e)

$y\ge4$

46.

$State\ the\ domain\ and\ range.\$ $y=\sqrt{x-3}$

a)

$x\ge3$

b)

$x\ge-3$

c)

$y\ge0$

d)

$y\ge3$

e)

$x\ge0$

47.

$Graph\ y=\sqrt{x}+1$

a)

b)

c)

d)

48.

$Graph\ y=\sqrt{x+2}$

a)

b)

c)

d)

49.

$Graph\ y=3\sqrt{x}$

a)

b)

c)

d)

50.

$2-10\sqrt{2}+2+4\sqrt{2}+6\sqrt{2}$

(a)

51.

$\sqrt{5}\left(\sqrt{2}+4\sqrt{2}\right)$

a)

$5\sqrt{10}$

b)

$\sqrt{10}+4\sqrt{10}$

c)

$\sqrt{7}+4\sqrt{7}$

d)

$5\sqrt{7}$

52.

$4\sqrt{5}+2\sqrt{20}$

a)

$6\sqrt{25}$

b)

$8\sqrt{5}$

c)

$12\sqrt{5}$

d)

$25$

53.

$9\sqrt{2}\left(4\sqrt{6}\right)$

a)

$36\sqrt{12}$

b)

$36\sqrt{3}$

c)

$144\sqrt{3}$

d)

$72\sqrt{3}$

54.

$5\sqrt{3}\left(3\sqrt{2}-\sqrt{3}\right)$

a)

$8\sqrt{5}-5\sqrt{3}$

b)

$15\sqrt{6}-5\sqrt{9}$

c)

$15\sqrt{6}-15$

d)

$15-5\sqrt{6}$

55.

$2\sqrt{5}\cdot\ 3\sqrt{5}$

(a)

56.

$3\sqrt{2}\left(4\sqrt{3}+6\sqrt{2}\right)$

a)

$12\sqrt{6}+36$

b)

$7\sqrt{5}+18$

c)

$12\sqrt{6}+18\sqrt{4}$

d)

$12\sqrt{3}+18\sqrt{2}$

57.

$4\sqrt{3}+\ 3\sqrt{7}-6\sqrt{3}+3\sqrt{7}$

a)

$2\sqrt{3}+6\sqrt{7}$

b)

$10\sqrt{3}+\ 3\sqrt{7}$

c)

$-2\sqrt{3}+\ 6\sqrt{7}$

d)

$-10\sqrt{3}+\ 6\sqrt{7}$

58.

$3\sqrt{2}-5\sqrt{2}+4\sqrt{2}$

a)

$12\sqrt{2}$

b)

$2\sqrt{2}$

c)

$-12\sqrt{2}$

d)

$-2\sqrt{2}$

59.

$15\sqrt{3}-14\sqrt{5}+6\sqrt{5}-11\sqrt{3}$

a)

$\sqrt{5}-5\sqrt{3}$

b)

$4\sqrt{5}-5\sqrt{3}$

c)

$4\sqrt{3}-8\sqrt{5}$

d)

$8\sqrt{5}-4\sqrt{3}$

60.

Which function matches the graph?

a)

$f(x)=∛(x+3)+2$

b)

$f(x)=−∛(x-3)+2$

c)

$f(x)=∛(x-3)+2$

d)

$f(x)=∛(x-2)+3$

61.

What is the Range for the graph?

a)

$2≤y<∞$

b)

$−∞<y≤3$

c)

$3≤y<∞$

d)

$−∞<y<∞$

62.

Which function matches the graph?

a)

$f(x)=−∛(x+3)−1$

b)

$f(x)=−∛(x-3)−1$

c)

$f(x)=∛(x+3)−1$

d)

$f(x)=∛(x-1)+3$

63.

Which function matches the graph?

a)

$f(x)=\sqrt{x-1}+3$

b)

$f\left(x\right)=-\sqrt{x+1}+3$

c)

$f(x)=\sqrt{-x+1}+3$

d)

$f(x)=−\sqrt{x+3}−1$

64.

What is the Domain for the graph?

a)

$-4≤x<∞$

b)

$−∞<x≤-2$

c)

$-2≤x<∞$

d)

$−∞<x≤-4$

65.

What is the Range for: $g\left(x\right)=\sqrt{x+5}-3$

a)

$-3≤y<∞$

b)

$−∞<y≤-3$

c)

$-5≤y<∞$

d)

$−∞<y≤-5$

66.

What is the Domain for: $g(x)=\sqrt{x+5}-3$

a)

$-3≤x<∞$

b)

$−∞<x≤-3$

c)

$-5≤x<∞$

d)

$−∞<x≤-5$

67.

$f\left(x\right)=\sqrt{x}$

Which function g(x) is equivalent to

f\left(x-4\right)+2

a)

$g(x)=2\sqrt{x-4}$

b)

$g(x)=\sqrt{x-4}+2$

c)

$g\left(x\right)=\sqrt{x+2}-4$

d)

$g(x)=\sqrt{x-4}-2$

68.

Name the parent function.

a)

cube root

b)

quadratic

c)

cubic

d)

square root

e)

linear

69.

Which function matches the graph?

a)

A

f(x) = − ∛(x + 3) − 1

b)

B

f(x) = − ∛(x - 3) − 1

c)

C

f(x) = ∛(x + 3) − 1

d)

D

f(x) = ∛(x - 1) + 3

70.

What is the Domain of ALL Cube Root Functions?

a)

(−∞,∞)

b)

[0,∞)

c)

(−∞,0]

d)

All Cube Root Functions are different.

71.

What is the Range of ALL Cube Root Functions?

a)

(−∞,∞)

b)

[0,∞)

c)

(−∞,0]

d)

All Cube Root Functions are different.

72.

What is the Domain of ALL Square Root Functions?

a)

(−∞,∞)

b)

[0,∞)

c)

(−∞,0]

d)

All Square Root Functions are different.

73.

What is the Range of ALL Square Root Functions?

a)

(−∞,∞)

b)

[0,∞)

c)

(−∞,0]

d)

All Square Root Functions are different.

74.

What kind of function is represented by the graph?

a)

Cube Root Function

b)

Cubic Function

c)

Polynomial Function

d)

Square Root Function

75.

Match the equation with the graph

a)

$y=\sqrt[3]{x-3}+5$

b)

$y=\sqrt[3]{x-3}-5$

c)

$y=\sqrt[3]{x+3}+5$

d)

$y=\sqrt[3]{x+3}-5$

76.

Match the equation with the graph

a)

$y=\sqrt[3]{x-3}$

b)

$y=\sqrt[3]{x+3}$

c)

$y=\sqrt[3]{x}+3$

d)

$y=\sqrt[3]{x}-3$

77.

Match the equation with the graph

a)

$y=\sqrt[3]{x-3}+2$

b)

$y=\sqrt[3]{x-3}-2$

c)

$y=\sqrt[3]{x+2}-3$

d)

$y=\sqrt[3]{x-2}-3$

78.

f(x) = 5x - 7

g(x) = 3x + 10

Find (f + g)(x).

a)

8x²+ 3

b)

8x + 3

c)

8x - 3

d)

15x² - 70

79.

f(x) = 5x - 7

g(x) = 3x + 10

Find (f + g)(x).

a)

8x²+ 3

b)

8x + 3

c)

8x - 3

d)

15x² - 70

80.

f(x) = x² - 5x - 8

g(x) = 4x² - x + 3

Find (f + g)(x).

a)

5x⁴ - 6x² - 5

b)

4x² + 5x + 5

c)

4x² + 5x - 5

d)

5x² - 6x - 5

81.

f(x) = 5x - 7

g(x) = 3x + 10

Find (f - g)(x).

a)

2x - 3

b)

2x + 17

c)

2x + 3

d)

2x - 17

82.

f(x) = 5x - 7

g(x) = 3x + 10

Find (g - f)(x).

a)

2x - 3

b)

-2x + 3

c)

-2x + 17

d)

2x - 17

83.

f(x) = 6x - 4

g(x) = 2x - 7

Find (f ⋅ g)(x).

a)

12x² + 50x - 28

b)

12x² - 34x + 28

c)

12x² + 28

d)

12x² - 50x + 28

84.

f(x) = 3x² - 4x + 5

g(x) = 5x - 1

Find (f ⋅ g)(x).

a)

15x³ - 23x² + 29x - 5

b)

15x³ - 4x - 5

c)

15x³ + 4x + 5

d)

15x³ + 23x² - 29x - 5

85.

Complete the operation and evaluate.

a)

b)

c)

d)

86.

Perform the indicated operation and evaluate for the given value.

a)

b)

c)

d)

87.

Given the functions

f\left(x\right)=x^2+5

and

g\left(x\right)=4x-9

find

\frac{f}{g}

a)

$\frac{4x-9}{x^2+5}$

b)

$\frac{x^2+5}{4x-9}$

c)

$\frac{x^2}{4x}$

d)

$-\ \frac{5}{9}$

88.

p(x) = 3x + 4

q(x) = 2x²

Find p(q(x))

a)

10x²

b)

18x² + 4

c)

6x² + 4

89.

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

a)

8

b)

-8

c)

28

d)

None of these.

90.

f(x) = 6x-8
g(x) = -4x-7
Find 3f(x)-g(x).

a)

22x-17

b)

14x-31

c)

22x-31

d)

10x-1

91.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(f\circ g\right)\left(2\right)$

a)

$\frac{1}{4}$

b)

$\frac{1}{8}$

c)

$\frac{7}{2}$

d)

8

92.

Evaluate f(x) = x² for f(-8)

a)

64

b)

-64

c)

-16

d)

16

93.

Evaluate f(t)=-2t²+ 1 for f(-3)

a)

19

b)

37

c)

-17

d)

-11

94.

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x).

a)

14x-10

b)

-8x+2

c)

2x+2

d)

2x-2

95.

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

a)

x²+x+9

b)

x²-x+9

c)

x²-x

d)

x²-x+18

96.

f(x)=x²+1
g(x)=2x-5
Find f(x)-g(x)

a)

x²-2x+6

b)

-x²+2x+4

c)

-x²-2x-6

d)

x²-2x-4

97.

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

a)

4x²+24

b)

4x²+20x+24

c)

4x²+12x+24

d)

4x²+4x+24

98.

f(x)=x³-3x
g(x)=-4x+1
Find f(x)*g(x)

a)

-4x³-5x²-3

b)

-4x³+2x²-3x

c)

-4x⁴+x³+12x²-3x

d)

-4x^4-x³+12x²⁺3x

99.

f(x)=2x+4
g(x)=3x²-1
Find f(x)*g(x)

a)

6x⁴+12x³-4x²-8x

b)

-6x³+12x²+2x-4

c)

6x³+12x²-2x-4

d)

5x²-18x+20

100.

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

a)

5n+1

b)

-5n+1

c)

-2n+1

d)

-6n-1

101.

f(n)=n²+4n
g(n)=-n-5
Find f(n)+g(n)

a)

n²+3n-5

b)

-n³+2n-7

c)

n³+3n-3n

d)

n²-3n-5

102.

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

a)

x²-2x+6

b)

-x²+2x+4

c)

-x²-2x-6

d)

x²-2x-4

103.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

104.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

a)

16

b)

4

c)

-4

d)

None of these.

105.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

106.

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

a)

8

b)

-8

c)

28

d)

None of these.

107.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

a)

182

b)

40

c)

61

d)

None of the Above

108.

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

109.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

a)

16

b)

4

c)

-4

d)

None of these.

110.

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).
What is the domain?

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

111.

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

112.

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

a)

3x² +5

b)

x² +1

c)

3x² +1

d)

3x² +6

113.

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

a)

10x-1

b)

10x-5

c)

5x²-1

d)

5x²-5

114.

If f(x) = x-5 and g(x) = 3x²-1,

what is (f ° g)(x) ?

a)

3x²-5

b)

3x²-1

c)

3x²-4

d)

3x²-6

115.

For f(x) = 2x²-1, what is and (f ° f)(-2) ?

a)

7

b)

97

c)

13

d)

6

116.

If f(x) = x-1 and g(x) = 2x,

what is and g(f(x)) ?

a)

2x²-1

b)

2x-1

c)

2x-2

d)

x-2

117.

Given f and g in the graph,

what is f(g(2)) ?

a)

3

b)

8

c)

1

d)

4

118.

p(x) = 3x + 4
q(x) = 2x²
Find q(p(x))

a)

6x² + 4

b)

18x²+ 48x + 32

c)

18x² + 32

d)

None of these.

119.

find f(g(1))

a)

2

b)

3

c)

1

d)

-6

120.

find g(f(1))

a)

-2

b)

-8

c)

1

d)

0

121.

find f(g(-2))

a)

-2

b)

-4

c)

6

d)

0

122.

find g(f(4))

a)

4

b)

-4

c)

6

d)

0

123.

Given f and g in the graph,

what is f(g(2)) ?

a)

3

b)

8

c)

1

d)

4

124.

Given f and g in the graph,

what is f(g(1)) ?

a)

3

b)

8

c)

1

d)

4

125.

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

126.

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

127.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

a)

182

b)

40

c)

61

d)

None of the Above

128.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

129.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

a)

16

b)

4

c)

-4

d)

None of these.

130.

Evaluate the function for the given inputs.
For f(x) = -2x + 4,
find f(x) when x = -5

a)

f(-5) = -6

b)

f(-5) = -3

c)

f(-5) = 14

d)

f(-5) = 2

131.

f(x)=x²-2x+1
Evaluate the function for f(-1).

a)

f(-1)=4

b)

f(-1)=0

c)

f(-1)=2

d)

f(-1)=-1

132.

a)

9 - 8/3

b)

9 + 8/3

c)

3

d)

1/3

133.

Find f[g(5)]

a)

30

b)

242

c)

92

d)

2

134.

A store offers a 10% discount and a $20 off coupon. What is the discount equation and the coupon equation?

a)

d(x) = 0.1(x)

c(x) = x - 20

b)

d(x) = 0.1(x)

c(x) = 20 - x

c)

d(x) = 0.9(x)

c(x) = 20 - x

d)

d(x) = 0.9(x)

c(x) = x - 20

135.

A store offers a 10% discount and a $20 off coupon. What is the cost equation if the discount is applied BEFORE the coupon?

a)

f(x) = .9x - 18

b)

f(x) = .9x - 20

c)

f(x) = .1x - 20

d)

f(x) = .1x - 18

136.

A store offers a 10% discount and a $20 off coupon. What is the cost equation if the coupon is applied BEFORE the discount?

a)

f(x) = .9x - 18

b)

f(x) = .9x - 20

c)

f(x) = .1x - 20

d)

f(x) = .1x - 18

137.

Determine the inverse for the function:

P (x) = 2x² + 1

a)

P^-1(x) = $\frac{x^2-1}{2}$

b)

P^-1(x) = $\frac{x^2+1}{2}$

c)

P^-1(x) = $\sqrt[]{\frac{x-1}{2}}$

d)

P^-1(x) = $\sqrt[]{\frac{x+1}{2}}$

138.

Determine the inverse for the function:

R (x) = 2x + 1

a)

R^-1(x) = $\frac{x-1}{2}$

b)

R^-1(x) = $\frac{x+1}{2}$

c)

R^-1(x) = $x-3$

d)

R^-1(x) = $x\ +3$

139.

Determine the inverse for the function:

Q(x) = $\frac{2x\ -7}{4}$

a)

Q^-1(x) = $\frac{2x-4}{7}$

b)

Q^-1(x) = $\frac{4x+7}{2}$

c)

Q^-1(x) = $\frac{7x\ -2}{4}$

d)

Q^-1(x) = $\frac{2x\ +4}{7}$

140.

Determine the inverse for the function:

S (x) = $\frac{2x^2\ -7}{4}$

a)

S^-1(x) = $\frac{2x-4}{7}$

b)

S^-1(x) = $\frac{4x+7}{2}$

c)

S^-1(x) = $\sqrt[]{\frac{4x+7}{2}}$

d)

S^-1(x) =

$\sqrt[]{\frac{2x+7}{4}}$

141.

Determine the inverse for the function:

T(x) = $6x\ -\ 7$

a)

T^-1(x) = $\frac{x-7}{6}$

b)

T^-1(x) = $\frac{x+7}{6}$

c)

T^-1(x) = $7x\ -6$

d)

T^-1(x) = $7x\ +6$

142.

Find the inverse of $f\left(x\right)=\frac{1}{4}x-7$

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x+28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x+28

143.

$f\left(x\right)=\frac{x-2}{6}$
Find $f^{-1}\left(x\right)$

a)

$\frac{x-6}{2}$

b)

$6x+2$

c)

$2x+6$

d)

$6\left(x+2\right)$

144.

Find the correct order to find the inverse of f(x)= 2x-5

a)

y=2x-5

b)

2y-5=x

c)

2y= x+5

d)

$y=\frac{x+5}{2}$

e)

$f^{-1}\left(x\right)=\frac{1}{2}x+\frac{5}{2}$

1)

2)

3)

4)

5)

145.

Find the inverse of $f(x)=10+7x$

a)

$f^{-1}(x)=\frac{x-7}{10}$

b)

$f^{-1}(x)=\frac{x-10}{7}$

c)

$f^{-1}(x)=\frac{1}{10+7x}$

146.

Find the inverse
f(x)= x⁴- 2

a)

∜(x+2)

b)

(x+2)⁴

c)

-1+2x⁴

d)

∜2x

147.

Find the inverse
f(x)=2x-2

a)

f^-1(x)=1/2x+1

b)

f^-1(x)=-2-1/2x

c)

f^-1(x)=-7/3x-20/3

d)

2-2/5x

148.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = - 4x - 3

149.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 1/4x + 7/4

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

150.

Find the inverse of $f(x)=4x$

a)

$f^{-1}(x)=\frac{x}{4}$

b)

$f^{-1}(x)=4$

c)

$f^{-1}\left(x\right)=\frac{1}{4}$

151.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

152.

Which is f ^-1(x)?

a)

f^-1(x) = 3x + 5

b)

f^-1(x) = 3x - 5

c)

f^-1(x) = 3x - 15

d)

f^-1(x) = 3x + 15

153.

$f\left(x\right)=3x$
Find $f^{-1}\left(x\right)$

a)

$\frac{x}{3}$

b)

$\frac{3}{x}$

c)

$0.3x$

d)

$x\times3$

154.

$f\left(x\right)=\frac{8x-3}{5}$
Find $f^{-1}\left(x\right)$

a)

$5\left(8x+3\right)$

b)

$\frac{5x}{8}+3$

c)

$\frac{5\left(x+3\right)}{8}$

d)

$\frac{5x+3}{8}$

155.

Is the inverse function found correctly?

a)

yes

b)

no

156.

Find the inverse of the function
f(x) = 3x − 5

a)

f^-1(x)=3x +5

b)

f^-1(x)=(x+5)/3

c)

f^-1(x)=3y-5

d)

f^-1(x)=3y+5

157.

What does it mean to find the inverse of a function?

a)

the x's and y's are switched

b)

the x's and y's are divided by 2

c)

the x's and y's are made negative

d)

the x's and y's are the same

158.

a)

Inverse Functions

b)

Not Inverse Functions

159.

a)

Inverse Functions

b)

Not Inverse Functions

160.

a)

Inverse Functions

b)

Not Inverse Functions

161.

Are these functions inverses?

a)

Yes

b)

No

162.

What is the inverse of the points
(1,3)(2,4)(6,8)

a)

(3,1)(4,2)(8,6)

b)

(-3,-1)(-4,-2)(-8,-6)

c)

(1,3)(2,4)(6,8)

d)

(-1,-3)(-2,-4)(-6,-8)

163.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

164.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

165.

Find the inverse of the function
f(x) = 3x − 5

a)

f^-1(x)=3x +5

b)

f^-1(x)=(x+5)/3

c)

f^-1(x)=3y-5

d)

f^-1(x)=3y+5

166.

Are the following inverses of each other?

a)

True

b)

False

167.

Was the inverse function found correctly?

a)

no

b)

yes

168.

Find the inverse of f(x) = x² - 5

a)

f^-1(x) = √(x) + 5

b)

f^-1(x) = ∛(x-5)

c)

f^-1(x) =√(x+5)

d)

f^-1(x) = x² - 5

169.

If f^-1(-25) = 7 then what is f(7) =

a)

25

b)

7

c)

No enough information.

d)

-25

170.

Are these functions inverses?

a)

No

b)

Yes

c)

No way to tell

171.

Are these inverse functions?

a)

no

b)

yes

c)

no way to tell

172.

Are the blue and red graphs inverse functions?

a)

yes

b)

no

c)

no way to tell

173.

Find the inverse
f(x)=2x-2

a)

f^-1(x)=1/2x+1

b)

f^-1(x)=-2-1/2x

c)

f^-1(x)=-7/3x-20/3

d)

2-2/5x

174.

If f(x) = 3x-9, what is f^-1(12)?

a)

25

b)

9

c)

11

d)

7

175.

If f and g are inverse functions, and
f(2) = -1 g(1) = -2 f(1) = -2,
then which of the following MUST be true?

a)

g(-2) = 0

b)

g(1) = 1

c)

g(-2) = -3

d)

g(-1) = 2

176.

If the domain of f(x) is x ≥ 4, then the ____ of ____ is y ≥ 4

a)

domain, f^-1(x)

b)

range, f(x)

c)

range, f^-1(x)

d)

domain, f(x)

177.

In an inverse function, the _____ and _______ are switched from the original

a)

f(x) and g(x)

b)

input and output

c)

positives and negatives

d)

slope and intercept

178.

What's the name of the inverse of g(x)?

a)

f(x)

b)

f^-1(x)

c)

y

d)

g^-1(x)

179.

Given f(x) = x+3, find f^-1(-2).

a)

-1

b)

1

c)

5

d)

-5

180.

Is the inverse function found correctly?

a)

yes

b)

no

Radicals and Functions Practice

Total questions: 180

Worksheet time: 10hrs 48mins

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