Quiz about Operations on functions review

Question 1

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

Accepted Answer

5x² + 6x - 1

Answer

11x2 - 1

Answer

5x⁴ + 6x² - 1

Answer

5x² + 8x - 1

Question 2

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

Accepted Answer

4x²+20x+24

Answer

4x2+24

Answer

4x²+12x+24

Answer

4x2+4x+24

Question 3

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

Accepted Answer

x2-x+18

Answer

x2+x+9

Answer

x2-x+9

Answer

x2-x

Question 4

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

Accepted Answer

2x2+6

Answer

x2+2x+3

Answer

4x2+3

Answer

2x2+3

Question 5

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

Accepted Answer

9x+1

Answer

-9x+11

Answer

4x2+4x

Answer

9x+11

Question 6

h(x)=x²-3x-10,
j(x)=3x-2
What is (h/j)(-2)

Accepted Answer

0

Answer

-2

Answer

undefined

Answer

1

Question 7

if f(x) = 3x + 2 and g(x) = 11 - 5x,

find (f + g)(x)

Accepted Answer

-2x + 13

Answer

-2x + 9

Answer

8x + 13

Answer

8x + 9

Question 8

If g(x) = x² - 4x - 7 and h(x) = 5x² - 8,

find (g - h)(x)

Accepted Answer

-4x² - 4x + 1

Answer

6x² - 4x - 15

Answer

-4x² - 4x - 15

Answer

-5x² - 4x + 1

Question 9

If f(x) = 2x + 1 and g(x) = 3x² - 8,

find f(g(x))

Accepted Answer

6x2 - 15

Answer

12x² + 12x - 5

Answer

6x2 - 7

Answer

3x² + 2x - 7

Question 10

If g(x) = 6x + 4 and
f(x) = 2x - 7
Find f(x) * g(x)

Accepted Answer

12x² - 34x - 28

Answer

8x - 3

Answer

4x + 11

Answer

12x2 - 28

Question 11

Find f(3) + g(2) if f(x)= x+2 and g(x)=5x-1

Accepted Answer

14

Answer

2

Answer

5

Answer

9

Question 12

Find (f-g)(2)
if f(x)=4x+10 and g(x)=3x-7

Accepted Answer

19

Answer

18

Answer

-1

Answer

17

Question 13

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 14

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 15

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 16

Are the following inverses of each other?

Accepted Answer

False

Answer

True

Question 17

Was the inverse function found correctly?

Accepted Answer

no

Answer

yes

Question 18

Are these inverse functions?

Accepted Answer

no

Answer

yes

Answer

no way to tell

Question 19

Are the blue and red graphs inverse functions?

Accepted Answer

yes

Answer

no

Answer

no way to tell

Question 20

Are these functions inverses?

Accepted Answer

No

Answer

Yes

Answer

No way to tell

Question 21

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

Accepted Answer

the x's and y's are switched

Answer

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

Answer

the x's and y's are made negative

Answer

the x's and y's are the same

Question 22

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 23

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

y =1

Answer

y = 0

Answer

y = x + 1

Question 24

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

Accepted Answer

solve for y

Answer

replace y with f^-1(x)

Answer

solve for x

Answer

find the greatest common factor

Question 25

Find the inverse of $$f\left(x\right)=\frac{5}{11}x+10$$

Accepted Answer

$$f^{-1}\left(x\right)=\frac{11}{5}\left(x-10\right)$$

Answer

$$f^{-1}\left(x\right)=\frac{5}{11}x-22$$

Answer

$$f^{-1}\left(x\right)=\frac{11}{5}x-10$$

Answer

None of the above

Question 26

Find the inverse of f(x) = -2/3x + 1/4

Accepted Answer

f^-1(x) = -3/2x + 3/8

Answer

f^-1(x) = 3/2x - 3/8

Answer

f^-1(x) = -3/2x + 8/3

Answer

f^-1(x) = 3/2x + 3/8

Question 27

Given that f(x) = 3x + 5 and g(x) = 1/3x + 5, find f(g(x)).  Are the two functions inverses of each other?

Accepted Answer

x + 20 ; No, they are not inverses

Answer

x + 20 ; Yes they are inverses

Answer

x ; Yes they are inverses

Answer

x ; No, they are not inverses

Question 28

If f(x)=x+5, what is f^-1(x)?

Accepted Answer

x - 5

Answer

(x + 5)2

Answer

(x + 5)-1

Answer

undefined

Question 29

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

Accepted Answer

switch x and y

Answer

get x by itself

Answer

solve for y

Answer

write the function in inverse function notation

Question 30

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

Accepted Answer

(4, 1) and (6, 4)

Answer

(1, 4) and (4, 6)

Answer

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

Answer

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

Question 31

When f(x) = x²-3 and g(x) = 2x+8 , find g(f(2)).

Accepted Answer

10

Answer

14

Answer

144

Answer

141

Operations on functions review

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