Inverse Functions Flashcard

Front

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

Back

f^{-1}(x)

Front

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

Back

The x's and y's are switched.

Front

Was the inverse function found correctly?

Back

No.

Front

Which is the inverse of the table?

Back

(Provide a specific example of a table and its inverse.)

Front

When finding the inverse of a relation, 1st you replace f(x) with y, 2nd switch the x's and y's. What do you do next?

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

How do you verify if two functions are inverses?

Back

If f(f^{-1}(x)) = x and f^{-1}(f(x)) = x.

Front

What is the graphical representation of inverse functions?

Back

They are reflections over the line y = x.

Front

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

Back

Replace f(x) with y.