Question

The 2 function in x are f(x) = e^2x and g(x) = ln x then find gof(x) is

1. x
2. 2x
3. e^x
4. ln x

Answer 1

Correct Answer - Option 2 : 2x

Calculation:

Given f(x) = e^2x and g(x) = ln x

gof(x) = g(f(x))

gof(x) = g(e^2x)

gof(x) = ln e^2x 

gof(x) = 2x ln e

gof(x) = 2x {∵ ln e = 1}