If g(x) = 5 + x + e^x, find g^-1(6)

Question

g^-1(6) = ?

Answer 1

if g^-1 (6) = a
then f(a) = 6

5 + a + e^a = 6
e^a = 1-a

clearly a = 0 is a solution

g^-1 (6) = 0