Function Inverses

Front

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

Back

Switch x and y.

Front

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

Back

f^{-1}(x)

Front

Find the inverse of the function f(x)=log_{3}(x)+7

Back

f^{-1}(x)=3^{(x-7)}

Front

Find the inverse of: y=log(x-2)+1

Back

y=10^{(x-1)}+2

Front

Which is f^{-1}(x)?

Back

f^{-1}(x) = 3x + 15

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function.

Front

How do you verify if two functions are inverses?

Back

If f(g(x)) = x and g(f(x)) = x, then f and g are inverses.

Front

What is the domain of an inverse function?

Back

The range of the original function.

Front

What is the range of an inverse function?

Back

The domain of the original function.

Front

What is the graphical representation of inverse functions?

Back

They are reflections over the line y=x.