Find (f∘g)(x).

Question

f(x)=x+4
g(x)=x2+5x
Write your answer as a polynomial in simplest form.
(f∘g)(x)=

Answer 1

(f∘g)(x) would be equal to f(g(x)). Therefore, we need to substitute g(x) into f(x).

f(g(x)) = f(x^2 + 5x)

Now substitute x^2 + 5x into f(x):

f(x^2 + 5x) = (x^2 + 5x) + 4

Simplifying, the final polynomial form is:

(f∘g)(x) = x^2 + 5x + 4