Quiz about PreCal Inverses

Question 1

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 2

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 3

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 4

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

y =1

Answer

y = 0

Answer

y = x + 1

Question 5

What is the best description?

Accepted Answer

Inverses, and both are functions

Answer

Not inverses, and both are functions

Answer

Not inverse, and they are not both functions.

Answer

Inverses, and they are not both functions.

Question 6

What is the inverse of the function f(x) = 4x + 6?

Accepted Answer

$$f^{-1}\left(x ight)\ =\ \frac{ ext{x - 6}}{ ext{4}}$$

Answer

$$f^{-1}\left(x ight)$$ = $$\frac{x\ +\ 6}{ ext{4}}$$

Answer

y = 4x + 6

Answer

$$f^{-1}\left(x ight)\ =\ \frac{ ext{x - 4}}{ ext{6}}$$

Question 7

Which of the following is the inverse function for ? $$f\left(x\right)\ =\ \frac{x^2+\ 1}{4}$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 8

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 9

Find the inverse of f(x) = 5/11x +10

Accepted Answer

f^-1(x) = 11/5(x - 10)

Answer

f^-1(x) = 5/11x - 22

Answer

f^-1(x) = 11/5x - 10

Answer

None of the above

Question 10

Question 10.

Accepted Answer

Inverse Functions

Answer

Not Inverse Functions

Question 11

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

Accepted Answer

g-1(x)

Answer

f(x)

Answer

f-1(x)

Answer

y

Question 12

What is the inverse of the function
f(x) = 2x + 4 ?

Accepted Answer

f^-1(x) = (x-4)/2

Answer

f^-1(x) = 4(x -2)

Answer

f^-1(x) = x/2 - 4

Answer

f^-1(x) = x/4 + 2

Question 13

Was the inverse function found correctly?

Accepted Answer

no,

Answer

yes

Question 14

Question 14.

Accepted Answer

C.

Answer

A.

Answer

B.

Answer

D.

Question 15

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 16

Are these the graphs of two inverse functions?

Accepted Answer

Yes

Answer

No

Answer

No way to tell

Question 17

Are the following inverses of each other?

Accepted Answer

No

Answer

Yes

Question 18

Which option is the inverse of f(x)?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 19

Find the inverse function

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 20

Verify if the two functions are inverses of each other. $$f\left(x\right)=-x-5$$

$$g\left(x\right)=-3x-9$$

SHOW YOUR WORK

Accepted Answer

Not Inverse Functions

Answer

Inverse Functions

Question 21

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

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

SHOW YOUR WORK

Accepted Answer

yes

Answer

no

Question 22

To prove two functions are inverses of each other, both f(g(x)) and g(f(x)) should equal...

Accepted Answer

x

Answer

1

Answer

0

Answer

y

Question 23

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

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

SHOW YOUR WORK

Accepted Answer

yes

Answer

no

Question 24

Use the horizontal line test to determine if the function has an inverse function.

Accepted Answer

yes

Answer

no

Question 25

Use the horizontal line test to determine if the function has an inverse function.

Accepted Answer

no

Answer

yes

Question 26

Use the horizontal line test to determine if the function has an inverse function.

Accepted Answer

no

Answer

yes

Question 27

Use the horizontal line test to determine if the function has an inverse function.

Accepted Answer

yes

Answer

no

Question 28

Which of the below graphs are one-to-one?

Accepted Answer

Answer

A.

Answer

B.

Answer

C.

Question 29

Is this function invertible? In other words will its inverse also be a function?

Accepted Answer

No

Answer

Yes

Answer

No way to tell

Question 30

Is this function invertible? In other words will its inverse also be a function?

Accepted Answer

Yes

Answer

No

Answer

No way to tell

Question 31

Is this function invertible? In other words is it one to one?

Accepted Answer

No

Answer

Yes

Answer

No way to tell

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