Inverse Functions

Front

The inverse of the function f(x) is written as ...

Back

f^{-1}(x)

Front

Given f(x) = 2x and g(x) = x^2 + 3, find f(g(x)).

Back

2x^2 + 6

Front

f(x) = -4x - 12. What is f^{-1}(x)?

Back

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

Front

What is the inverse of the function g(x) = 5x + 7?

Back

g^{-1}(x) = (x - 7)/5

Front

Given the points (3,5)(4,6)(7,8), what is the inverse of these points?

Back

(5,3)(6,4)(8,7)

Front

What is an inverse function?

Back

A function that reverses the effect of the original function.

Front

If f(x) = x + 2, what is f^{-1}(x)?

Back

f^{-1}(x) = x - 2

Front

How do you find the inverse of a function algebraically?

Back

Swap x and y, then solve for y.

Front

What is the graphical representation of an inverse function?

Back

The reflection of the original function across the line y = x.

Front

If f(x) = 3x - 5, what is f^{-1}(x)?

Back

f^{-1}(x) = (x + 5)/3