Find the value of A for which g^(-1)f(A) = h(A)?

Question

The functions f, g, and h are defined as follows:

f(x) = x ( for x > or = 0)

g(x) = x (ln x) (for x > or = e^-1)

h(x) = e^x (for x > or = -1)

Thus, find the value of A for which g^(-1)f(A) = h(A).

Thanks a lot!

Answer 1

http://img262.imageshack.us/img262/104/f...

Answer 2

g^-1(f(A)) = h(A)

g^-1(A) = e^A

A = g(e^A)

= (e^A) * ln (e^A)

= Ae^A

Ae^A - A = 0

A(e^A - 1) = 0

A = 0 or e^A = 1

A = 0