Recap/Review Inverse Functions

Front

What is the inverse of the function f(x) = 2x + 4?

Back

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

Front

What is the name of the inverse of g(x)?

Back

g^-1(x)

Front

What is the first step in finding the equation of the inverse of a function?

Back

Switch x and y.

Front

Are these functions inverse functions? (f(x) = 2x + 4 and g(x) = x/2 - 2)

Back

No.

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

1. Replace f(x) with y. 2. Switch x and y. 3. Solve for y.

Front

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

Back

They are reflections over the line y = x.

Front

If f(x) = x^2, what is the inverse function?

Back

f^-1(x) = √x (for x ≥ 0).

Front

What is the domain of the inverse function if the original function is f(x) = 3x - 5?

Back

The domain of f^-1(x) is all real numbers.