Question

How do you find `(fog)(x)` given `f(x)=x^2+3; g(x)=6x`?

Answer 1

`= 3(12x^2 + 1)`

Explanation:

Here, it is:

`(fog)(x) = f(g(x))`

`= f(6x)=(6x)^2+3 = 36x^2 + 3`

`= 3(12x^2 + 1)`