Question

F(x) = x + 4
g(x) = 3x² - 7
Find (f*g)(x).​

Answer 1

Greetings from Brasil...

For the composite function FоG(X) = F(G(X)), just replace the function G(X) in the X of F(X):

F(X) = X + 4

G(X) = 3X² - 7

F(X) = X + 4

F(G(X)) = [G(X)] + 4

F(G(X)) = [3X² - 7] + 4

F(G(X)) = 3X² - 7 + 4

F(G(X)) = 3X² - 3