Inverse Functions

Front

What is an inverse function?

Back

An inverse function reverses the operation of the original function, switching the roles of inputs and outputs.

Front

How do you find the inverse of a function algebraically?

Back

To find the inverse, replace f(x) with y, switch x and y, and then solve for y.

Front

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

Back

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

Front

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

Back

It means to switch the x's and y's.

Front

Find the inverse of f(x) = 2x + 4.

Back

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

Front

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

Back

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

Front

What is the inverse of the coordinates (1, 2)?

Back

(2, 1).

Front

What is the inverse of the coordinates (3, 8)?

Back

(8, 3).

Front

What is the inverse of the coordinates (-3, 6)?

Back

(6, -3).

Front

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

Back

f^-1(x) = x - 5.