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

If f(x) = -4x - 12, what is f^{-1}(x)?

Back

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

Front

Which of the following is NOT TRUE about inverse functions?

Back

The domain of a function becomes the domain of its inverse.

Front

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^{-1}(x) go through?

Back

(4, 1) and (6, 4)

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function.

Front

How do you find the inverse of a function algebraically?

Back

Switch x and y in the equation and solve for y.

Front

What is the graphical relationship between a function and its inverse?

Back

They are reflections of each other over the line y = x.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for the function.