Chapter 7.3, Problem 117E

i)

To determine

Prove that G has an inverse with domain R and range {x: x >0}. Denote the inverse by F.

To check whether G has an inverse and domain or not?

ii)

To determine

Prove that $F(x+y)=F(x)+F(y)$ for all x, y.

iii)

To determine

To Show $F(r)=E^r$ for all numbers

iv)

To determine

To show $F\text{'}(x)=F(x)$