At times, your textbook or teacher may ask you to verify that two given functions are actually inverses of each other. To do this, you need to show that both *f*(*g*(*x*)) and *g*(*f*(*x*)) = *x.*

When you’re asked to find an inverse of a function, you should verify on your own that the inverse you obtained was correct, time permitting.

For example, show that the following functions are inverses of each other:

Show that

*f*(*g*(*x*))*= x.*This step is a matter of plugging in all the components:

Show that

*g*(*f*(*x*)) =*x.*Again, plug in the numbers and start crossing out: