Question

Show that the function $f\left(x\right)=e^x$ from the set of real numbers to the set of real numbers is not invertible, but if the co domain is restricted to the set of positive real numbers, the resulting function is invertible.

Short answer

Inverse exists

Step-by-step solution

not given in the drive 

The function is not one-to-one, so it is not invertible.

On the restricted domain, the function is the identity function on the non-negative real numbers $f\left(x\right)=e^x$, so it is its own inverse