Inverse Functions

Front

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

Back

The x's and y's are switched.

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

Are the following functions inverses of each other?

Back

False

Front

What is the first step to find the inverse of a relation?

Back

Replace f(x) with y.

Front

What do you do after switching the x's and y's when finding the inverse?

Back

Solve for y.

Front

What is the definition of an inverse function?

Back

A function that reverses the effect of the original function.

Front

If f(x) = 2x + 3, what is f⁻¹(x)?

Back

f⁻¹(x) = (x - 3)/2.

Front

What is the graphical representation of inverse functions?

Back

They are reflections over the line y = x.

Front

What is the relationship between the domain of a function and the range of its inverse?

Back

The domain of f is the range of f⁻¹.

Front

How do you verify if two functions are inverses?

Back

Check if f(f⁻¹(x)) = x and f⁻¹(f(x)) = x.