Respuesta :

The question is:

19. if g(x) = 3 + x + e^x, find the inverse function of g (4).

Solution:

1) Put the equation as y = 3  + x + e^x

2) Solve for x = > x + e^x = y - 3

3) switch x and y => y + e^y = x - 3

4) y is the inverse

5) find y for the value requested (x = 4)

=> y + e^y = 4 - 3

=> y + e^y = 1

the solution is y = 0 because 0 + e^0 = 0 + 1 = 1.

Answer: 0.