Free Printable A2-CHAPTER 6 TEST 2024-25

1.

a)

$-x^2-4x$

b)

$-2x^2-14x$

c)

$2x+12$

d)

$x^2-x$

2.

a)

$-12x^2-8x$

b)

$x^2+6x$

c)

$x+6$

d)

$2x$

3.

a)

$-2x^2-9x$

b)

$x^{2\ }-6x$

c)

$-x+7$

d)

$2x^2+12x-2$

4.

a)

$-2x^{ }-9x$

b)

$3x^{2\ }-6x\ -5$

c)

$-2x+6$

d)

$2x^2+12x-2$

5.

a)

$-3x^2+4x$

b)

$3x^{2\ }-6x\ -5$

c)

$-2x^2+6$

d)

$2x^2-2$

6.

a)

$-x^2+4x$

b)

$3x^{2\ }-6$

c)

$-2x^2-x$

d)

$2x^2-2$

7.

a)

$-x^2+4x+8$

b)

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

c)

$-2x^2-x+1$

d)

$2x^2-2x-100$

8.

a)

$-10x+2$

b)

$4x-4$

c)

$x+1$

d)

$-2x-10$

9.

a)

$12x+x$

b)

$4x^2-4$

c)

$-5x^2+4$

d)

$3x^2+x$

10.

a)

$-12x^2-8x$

b)

$-4x^2-6x$

c)

$x+12$

d)

$18x^2-2x$

11.

When f(x) = x²+9 and g(x) = x-9, find f(x)-g(x).

a)

x²+x+9

b)

x²-x+9

c)

x²-x

d)

x²-x+18

12.

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

a)

5n+1

b)

-5n+1

c)

-2n+1

d)

-6n-1

13.

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

14.

Given the functions f(x) = - 3x²- 2 and g(x) = 3x, find f(x) - g(x).

a)

3x²-3x+2

b)

-2

c)

-3x²-3x-2

d)

-6x-2

15.

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

16.

h(x) = 2x² - x + 1
g(x) = 3x
Find (h*g)(x).

a)

5x³ + 2x² + 3x

b)

2x² + 2x + 1

c)

6x³ - 3x² + 3x

d)

6x³ - 1

17.

$f\left(x\right)\ =\ x^2-5x+8\ \ \ \ \ \ and\ \ \ \ \ g\left(x\right)=\ x^2-4$
Find: $\left(f\cdot g\right)\left(x\right)$

a)

$x^4-5x^3+24x-32$

b)

$x^4-x^2+20x-32$

c)

$x^4-5x^3+4x^2+20x-32$

d)

$x^4-5x^3+12x^2+20x-32$

18.

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

19.

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

20.

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)

-4x⁴-x³+ 12x²+3x

21.

If g(x) = 6x + 4 and f(x) = 3, find f(x) * g(x)

a)

18x + 4

b)

9x + 7

c)

6x + 7

d)

18x + 12

22.

Perform the indicated operation.

a)

b)

c)

d)

23.

Perform the indicated operation.

a)

b)

c)

d)

24.

f(x) = 6x² + 3x + 2 and g(x) = x - 7

Find f(x) * g(x)

a)

6x³ - 39x² + 19x + 14

b)

6x³ - 39x² - 21x - 14

c)

6x³ - 39x² - 19x - 14

d)

6x³ - 45x² - 19x + 14

25.

f(x) = 6x² + 3x + 2 and g(x) = x - 7
Find f(x) * g(x)

a)

6x³ - 39x² - 19x - 14

b)

6x³ - 39x² - 21x - 14

c)

6x³ - 39x² - 19x - 14

d)

6x³ - 45x² - 19x + 14

26.

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

a)

6x + 15

b)

6x - 15

c)

-6x + 15

d)

6x - 8

27.

f(x) = x + 5 and g(x) = x² - 2x + 3
Find f(x) * g(x)

a)

x³ + 3x² - 7x + 15

b)

x³ - 2x² + 15

c)

x³ + 3x² - 10x + 15

d)

x³ - 3x + 15

28.

Simplify.

a)

$\frac{a-4}{a-4}$

b)

$\frac{2\left(a-4\right)}{\left(a+4\right)\left(a-4\right)}$

c)

$\frac{a-4}{a+4}$

d)

1

29.

Simplify.

a)

1/(n-7)

b)

n-7

c)

(n-6)/(n-7)

d)

n-6

30.

What are the restricted values?

a)

x = - 3 and x = 4

b)

x = 3 and x = - 4

c)

x = 3 only

d)

x = - 4 only

31.

Identify the restricted values

a)

x≠-6

b)

x≠-6, 3

c)

x≠3

d)

x≠-18

32.

Factor and cancel out in order to simplify.

a)

$\frac{1}{n-7}$

b)

$n-7$

c)

$\frac{n-6}{n-7}$

d)

$n-6$

33.

Simplify the rational function

a)

$\frac{1}{x+5}$

b)

$\frac{1}{x-5}$

c)

$\frac{x-5}{x+5}$

d)

$\frac{x-5}{(x-5)(x+5)}$

34.

Simplify

a)

(x-9)/(x+9)

b)

1/(x-9)

c)

(x+9)

d)

1/(x+9)

35.

a)

A

b)

B

c)

C

d)

D

36.

a)

A

b)

B

c)

C

d)

D

37.

a)

A

b)

B

c)

C

d)

D

38.

a)

A

b)

B

c)

C

d)

D

39.

a)

A

b)

B

c)

C

d)

D

40.

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

a)

19

b)

23

c)

-10

d)

None of these.

41.

Find g(- 2).

a)

12

b)

-2

c)

-24

d)

18

42.

Evaluate f(x)=-2x+13 for f(10)

a)

-7

b)

1

c)

-8

d)

7

43.

Given
f(x)= 2x² + 5x - 17, find f(-1).

a)

f(-1) = -20

b)

f(-1) = -24

44.

g(a) = 4a + 1

h(a) = -3a + 2

Find g(h(1))

(a)

45.

f(x) = 3x + 10

g(x) = x - 2

Find g(f(-10))

a)

-42

b)

-26

c)

-18

d)

-22

46.

f(x) = 5x - 2

g(x) = x + 6

Find g(f(2))

a)

64

b)

38

c)

14

d)

None of these.

47.

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

a)

19

b)

23

c)

-10

d)

None of these.

48.

f(x) = 5x - 2

g(x) = x + 6

Find g(f(2))

a)

64

b)

38

c)

14

d)

None of these.

49.

Given f(x) = x + 15

and g(x) = 2x

Find f(g(3))

a)

21

b)

23

c)

36

d)

None of these.

50.

Given f(x) = x - 9

and g(x) = 2x + 1

Find f(g(0))

a)

0

b)

-8

c)

-17

d)

None of these.

51.

f(x) = 3x + 10

g(x) = x - 2

Find g(f(-10))

a)

-42

b)

-26

c)

-18

d)

-22

52.

Find g(5)

a)

3375

b)

375

c)

25

d)

45

53.

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

Find $\left(fog\right)\left(5\right)$

a)

19

b)

23

c)

-10

d)

None of these.

54.

Find f[g(5)]

a)

30

b)

242

c)

92

d)

2

55.

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

a)

19

b)

23

c)

-10

d)

None of these.

56.

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

a)

16

b)

4

c)

-4

d)

None of these.

57.

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

a)

-42

b)

-26

c)

-18

d)

None of these.

58.

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

59.

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

60.

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

61.

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

a)

10x²

b)

18x² + 4

c)

6x² + 4

62.

g(x)=3x+4
h(x)=3x-1
Find (g∘h)(x)

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

63.

a)

b)

c)

d)

64.

If $f\left(x\right)=x^2$ and $g\left(x\right)=\sqrt{x}$ find $f\left(f\left(x\right)\right)$

a)

$x^4$

b)

$2x^2$

c)

$2x^4$

d)

$x^3$

65.

$If\ f\left(x\right)=2x+1\ \ and\ \ g\left(x\right)=3x+2$

Find\ \left(f\circ g\right)\left(x\right)

a)

f(g(x)) = 6x + 4

b)

f(g(x)) = 6x + 5

c)

f(g(x)) = 5x + 8

d)

f(g(x)) = 5x + 5

66.

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

a)

$\frac{1}{3x}+2$

b)

$3x+2$

c)

$\frac{3}{x}+2$

d)

$\frac{1}{3x+2}$

67.

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

a)

10x²

b)

18x² + 4

c)

6x² + 4

68.

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

69.

f(g(x))

a)

3x - 16

b)

3x - 2

c)

3x - 26

d)

4x - 2

70.

a)

b)

c)

d)

71.

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

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

72.

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.

73.

Using f(x) = 5x + 4 and g(x) = x - 3,

Find g(f(x)).

a)

5x + 1

b)

5x - 15

c)

5x - 11

d)

5x + 7

74.

Using f(x) = 4x + 3 and g(x) = x - 2,

Find f(g(x)).

a)

4x - 5

b)

4x - 11

c)

4x + 1

d)

4x + 5

75.

If $f\left(x\right)=2x+3$ and $g\left(x\right)=-3x-4$ , find $f\left(g\left(x\right)\right)$

a)

$-6x^2-17x-12$

b)

$6x^2+x-12$

c)

$-6x-5$

d)

$5x+7$

76.

If $f\left(x\right)=2x+3$ and $g\left(x\right)=-3x-4$ , find $f\left(g\left(x\right)\right)$

a)

$-6x^2-17x-12$

b)

$6x^2+x-12$

c)

$-6x-5$

d)

$5x+7$

77.

If $f\left(x\right)=-2x+3$ and $g\left(x\right)=-3x+2,$ find $f\left[g\left(x\right)\right].$

a)

$-x+1$

b)

$-2x^2$

c)

$6x-1$

d)

$5x+7$

78.

Let $f\left(x\right)=2x^2+12x$ and $g\left(x\right)=x^2-3x-54$ . Find $\left(\frac{f}{g}\right)\left(x\right)$

Simplify (HINT: factor numerator & denominator)

a)

$\frac{2x^2+12x}{x^2-3x-54}$

b)

$\frac{2x}{x-9}$

c)

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

d)

$\frac{x+6}{x-9}$

79.

Perform the operations. State your final answer in standard form. State any restrictions in the domain.

a)

$\frac{7x+4}{-3x-2};\ x\ne\frac{3}{2}$

b)

$\frac{7x+4}{-3x-2};\ x\ne\frac{2}{-3}$

c)

$\frac{7x+4}{-3x-2};\ x\ne\frac{3}{-2}$

d)

$\frac{7x+4}{-3x-2};\ x\ne\frac{-2}{3}$

80.

When f(x) = x²-9
and g(x) = x+3 ,
find (f/g)(x).

a)

x-3

b)

x+3

c)

x-12

d)

x-6

81.

f(x)=x²-1
g(x)=x-1
Find (f/g)(x)

a)

x+1

b)

x²+1

c)

x

d)

x²-1

82.

Find f[g(5)]

a)

30

b)

242

c)

92

d)

2

83.

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

84.

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

a)

16

b)

4

c)

-4

d)

None of these.

85.

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

a)

19

b)

23

c)

-10

d)

None of these.

86.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $f\left(g\left(3\right)\right)$

a)

34

b)

71

c)

35

d)

142

87.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $g\left(f\left(-1\right)\right)$

a)

2

b)

15

c)

7

d)

-9

88.

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

89.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(g\circ g\right)\left(-4\right)$

a)

44

b)

-40

c)

-30

d)

-28

90.

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

91.

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

a)

$\frac{1}{4}$

b)

$1$

c)

$-1$

d)

$-\frac{1}{4}$

92.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $f\left(g\left(3\right)\right)$

a)

34

b)

71

c)

35

d)

142

93.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $g\left(f\left(-1\right)\right)$

a)

2

b)

15

c)

7

d)

-9

94.

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

a)

-9

b)

7

c)

-11

d)

None of these

95.

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

a)

-42

b)

-26

c)

-18

d)

None of these.

96.

a)

9 - 8/3

b)

9 + 8/3

c)

3

d)

1/3

97.

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)

98.

The inverse has been reflected over which line?

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

99.

Are these functions inverses?

a)

Yes

b)

No

100.

Are these inverse functions?

a)

no

b)

yes

c)

no way to tell

101.

Are the blue and red graphs inverse functions?

a)

Yes, the functions reflect over y = x

b)

No, they do not reflect over the x - axis.

c)

No way to tell from a graph

102.

Which is the inverse of the table?

a)

b)

c)

d)

103.

Are these inverse functions?

a)

yes

b)

no

c)

no way to tell

104.

f(x) = {(3, 7), (4, -2), (5, -1), (8, 7)}
Is f^-1(x) a function?

a)

Yes

b)

No

c)

No way to tell

105.

What is the first step in finding the equation of the inverse of a function?

a)

get x by itself

b)

switch x and y

c)

solve for y

d)

write the function in inverse function notation

106.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

107.

Are these functions inverses?

a)

Yes

b)

No

108.

are these inverse functions?

a)

no

b)

yes

c)

no way to tell

109.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

a)

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

b)

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

c)

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

d)

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

110.

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)

111.

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

a)

f(x)

b)

f^-1(x)

c)

y

d)

g^-1(x)

112.

a)

Inverse Functions

b)

Not Inverse Functions

113.

a)

Inverse Functions

b)

Not Inverse Functions

114.

a)

Inverse Functions

b)

Not Inverse Functions

115.

a)

Inverse Functions

b)

Not Inverse Functions

116.

a)

Inverse Functions

b)

Not Inverse Functions

117.

a)

Inverse Functions

b)

Not Inverse Functions

118.

a)

Inverse Functions

b)

Not Inverse Functions

119.

a)

Inverse Functions

b)

Not Inverse Functions

120.

a)

Inverse Functions

b)

Not Inverse Functions

121.

a)

Inverse Functions

b)

Not Inverse Functions

122.

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

a)

True

b)

False

123.

Was the inverse function found correctly?

a)

no,

b)

yes

124.

Are the following inverses of each other?

a)

True

b)

False

125.

a)

Inverse Functions

b)

Not Inverse Functions

126.

a)

Inverse Functions

b)

Not Inverse Functions

127.

Are f(x) =x+6 and g(x) =x-6 inverses?

a)

Yes

b)

No

128.

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

Use composition of functions to determine if f(x) and g(x) are inverse functions.

a)

yes

b)

no

129.

a)

Inverse Functions

b)

Not Inverse Functions

130.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

131.

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

132.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

a)

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

b)

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

c)

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

d)

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

133.

$Find\ the\ inverse\ of\ g\left(x\right)=\left(x-2\right)^2+5$

a)

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

b)

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

c)

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

d)

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

134.

Find the inverse of $f\left(x\right)=\left(\frac{2x+4}{3}\right)^{\frac{1}{3}}$

a)

$f^{-1}\left(x\right)=\frac{x^3-4}{2}$

b)

$f^{-1}\left(x\right)=\frac{2x^3-4}{3}$

c)

$f^{-1}\left(x\right)=\frac{3x^3+4}{2}$

d)

$f^{-1}\left(x\right)=\frac{3x^3-4}{2}$

135.

Verify that f(x) is the inverse of g(x) $f\left(x\right)=\left(\frac{x+9}{5}\right)^{\frac{1}{5}}\ and\ g\left(x\right)=5x^5-9$

a)

Yes

b)

No

136.

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

137.

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

a)

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

b)

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

c)

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

d)

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

138.

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

a)

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

b)

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

c)

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

d)

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

139.

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

a)

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

b)

$6x+2$

c)

$2x+6$

d)

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

140.

Was the inverse function found correctly?

a)

no

b)

yes

141.

The inverse of the function f(x) is written as ...

a)

f ^-1(x)

b)

f ²(x)

c)

f '(x)

d)

f ⁺(x)

142.

What are the missing values if g(x)=f^-1(x)?

a)

(9,-5)

b)

(-9,-5)

c)

(5,9)

d)

(-9,5)

143.

Which is the inverse of the table?

a)

b)

c)

d)

144.

When using composition to verify 2 functions are inverses, g(f(x)) and f(g(x)) must equal

a)

x

b)

y

c)

f(x)

d)

g(x)

145.

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)

146.

FIND THE INVERSE

(a)

147.

FIND THE INVERSE

(a)

148.

FIND THE INVERSE

(a)

149.

FIND THE INVERSE

(a)

150.

FIND THE INVERSE

(a)

151.

FIND THE INVERSE

(a)

152.

FIND THE INVERSE

(a)

153.

FIND THE INVERSE

(a)

154.

FIND THE INVERSE

(a)

155.

FIND THE INVERSE

(a)

156.

True or False: ALL functions have an inverse FUNCTION.

a)

True

b)

False

157.

TWO ANSWERS:

Is this a function?

Does it have an inverse FUNCTION?

a)

Function

b)

Not a Function

c)

Inverse Function

d)

Inverse Relation

158.

TWO ANSWERS:

Is this a function?

Does it have an inverse FUNCTION?

a)

Function

b)

Not a Function

c)

Inverse Function

d)

Inverse Relation

159.

TWO ANSWERS:

Is this a function?

Does it have an inverse FUNCTION?

a)

Function

b)

Not a Function

c)

Inverse Function

d)

Inverse Relation

160.

TWO ANSWERS:

Is this a function?

Does it have an inverse FUNCTION?

a)

Function

b)

Not a Function

c)

Inverse Function

d)

Inverse Relation

161.

Write the inverse of this function:

f\left(x\right)=\sqrt{x-8}

a)

$f^{-1}\left(x\right)=x^2+8$

b)

$f^{-1}\left(x\right)=x+8$

c)

$f^{-1}\left(x\right)=x^2-8$

d)

$f^{-1}\left(x\right)=x-8$

162.

Write the inverse of this function:

g\left(x\right)=\frac{2}{x}

a)

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

b)

$g^{-1}\left(x\right)=2x$

c)

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

d)

$g^{-1}\left(x\right)=-2x$

163.

Write the inverse of the function:

h\left(x\right)=x^2-9

a)

$h^{-1}\left(x\right)=\pm\sqrt{x+9}$

b)

$h^{-1}\left(x\right)=\sqrt{x+9}$

c)

$h^{-1}\left(x\right)=\pm\sqrt{x-9}$

d)

$h^{-1}\left(x\right)=-\sqrt{x+9}$

164.

Write the inverse of the function:

f\left(x\right)=3x-7

a)

$f^{-1}\left(x\right)=\frac{x+7}{3}$

b)

$f^{-1}\left(x\right)=\frac{x-7}{3}$

c)

$f^{-1}\left(x\right)=3x+7$

d)

$f^{-1}\left(x\right)=3x-7$

165.

Write the inverse of the function:

n\left(x\right)=\frac{2x-5}{5}

a)

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

b)

$n^{-1}\left(x\right)=5x+5$

c)

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

d)

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

166.

Write the inverse of the function:

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

a)

$m^{-1}\left(x\right)=\pm\sqrt{x-5}$

b)

$m^{-1}\left(x\right)=-\sqrt{x-5}$

c)

$m^{-1}\left(x\right)=\pm\sqrt{x+5}$

d)

$m^{-1}\left(x\right)=\sqrt{x-5}$

167.

Write the inverse of the function:

b\left(x\right)=\frac{4}{x}-9

a)

$b^{-1}\left(x\right)=\frac{4}{x+9}$

b)

$b^{-1}\left(x\right)=\frac{4}{x-9}$

c)

$b^{-1}\left(x\right)=-\frac{4}{x+9}$

d)

$b^{-1}\left(x\right)=4x+36$

A2-CHAPTER 6 TEST 2024-25

Total questions: 167

Worksheet time: 12hrs 51mins

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