Quiz about Inverse Functions

Question 1

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 2

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

Accepted Answer

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

Answer

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

Answer

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

Answer

2-2/5x

Question 3

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

Accepted Answer

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

Answer

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

Answer

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

Answer

2-2/5x

Question 4

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 5

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 6

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 7

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

y =1

Answer

y = 0

Answer

y = x + 1

Question 8

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 9

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 10

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 11

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 12

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 13

What is the approximate solution to the equation 3^x-1 = 4^{2x + 5}

Accepted Answer

-4.797

Answer

3.875

Answer

1.262

Answer

-2.354

Question 14

Question 14.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 15

Question 15.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Inverse Functions

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