Consider the function defined as f(x) = e^x + e^-x/2, x > 0. Find the inverse of f?
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
Use the quadratic formula to solve for
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.