F(x) = x^2- 2x- 3
g(x) = 5x^2
²
Find f (g(x)) -

Greetings from Brasil...

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

F(X) = X² - 2X - 3

G(X) = 5X²

F(G(X)) = [G(X)]² - 2 · [G(X)] - 3

F(G(X)) = [5X²]² - 2 · [5X²] - 3

where's the diagrams?