# Consider the function defined as f(x) = e^x + e^-x/2, x > 0. Find the inverse of f?

##### 1 Answer

Assuming

But if

#### Explanation:

I'm not sure if you wrote the function correctly. You wrote

Did you mean to find the inverse of

If so, start with

Multiply both sides by 2.

Multiply both sides by

Subtract

Use the quadratic formula to solve for

But

Now take the natural log of both sides.

Another way to say this is

If you really DID mean

using exactly the same method as above.