Question

Find (fog)(x).

f(x) = 6x
g(x) = x + 3
Write your answer as a polynomial in simplest form.
(fog)(x) = ????

Answer 1

`(fog)(x)=6x+18`

Explanation:

We are given:

f(x)=6x

and g(x)=x+3

We need to find (fog)(x)

(fog)(x) =f(g(x)) i.e we will put value of g(x) into f(x) i.e

`(fog)(x)=f(g(x))\\f(g(x))=6(x+3)\\f(g(x))=6x+18`

So,
`(fog)(x)=6x+18`