61.4k views
2 votes
If F(x) = 3x + 2 and G(x) = x2 + 4, what is F(G(x))?

2 Answers

3 votes
So you in this problem you are supposed to have F(G(x)) what you need to do is plug in g(x) for x in f(x) because it's telling you to find f of g of x so if you plug in g(x) into x in f(x) it would be
F(G(x))=3(x2+4)+2
and then if you need to solver it just distribute and combine like terms let me know if you have any questions
User AizuddinAzman
by
8.6k points
5 votes
(f○g)(x)=f(g(x))

(f○g)(x)=3(x^2+4)+2

(f○g)(x)=3x^2+12+2

(f○g)(x)=3x^2+14
User LiranNis
by
8.0k points