Question

Given f(x) = 2x - 7 and g(x) = 3x + 2, find (fog)(x).​

Answer 1

(fog)(x)=6x-3

Explanation:

In this problem, we are looking to find f of g of x. Simply put, we just have to plug g(x) into f(x). Whereever there is an x in f(x), we will replace with g(x).

`(fog)(x)= 2(g(x))-7\\(fog)(x)=2(3x+2)-7\\(fog)(x)=6x+4-7\\(fog)(x)=6x-3`

I hope this helps! Let me know if you have any questions :)