Inverse Functions

What is the equation for finding a inverse on a graph?

• Ax +By = C

• y = √(x)

• y = x

• y = mx + b

The first step when finding the inverse of a function is:

• Solve for x

• switch x and y then solve for x

• Solve for y

• switch x and y then solve for y

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

• 25

• 9

• 11

• 7

What is the inverse of this function?

• A

• B

• C

• D

Find the inverse f(x)=2x-2, then solve for f^-1(6).

• 4

• 5

• 6

• 7

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

• 24

• 3

• 6

• - 3

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

• f^-1(x) = 1/4x + 7/4

• f^-1(x) = -4x + 28

• f^-1(x) = -4x - 7

• f^-1(x) = 4x + 28

Find the inverse of f(x) = 5/10x +10 then solve for f^-1(5).

• -10

• 10

• -20

• 20

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

• f^-1(x) = -3/2x + 3/8

• f^-1(x) = 3/2x - 3/8

• f^-1(x) = -3/2x + 8/3

• f^-1(x) = 3/2x + 3/8

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

• x + 20 ; Yes they are inverses

• x + 20 ; No, they are not inverses

• x ; Yes they are inverses

• x ; No, they are not inverses