Find f^-1(x) for f(x)=1/x^3 and state whether or not it is a function.

Inverse function is

It is a function

Step-by-step explanation:

Replace f(x) with y

Now we replace x with y and y with x

Now multiply by y^2 on both sides and solve for y

xy^3 = 1

divide by x on both sides

Take cube root on both sides

Inverse function is

For every value of x there is a y value . for each input there is only one output

so it is a function