To find (f∘g)(x), we substitute g(x) into f(x) and simplify.
(g(x) = -5x - 3)
(f∘g)(x) = f(g(x))
(f∘g)(x) = f(-5x - 3)
Substituting into f(x), we get:
(f∘g)(x) = (-5x - 3)^2
(f∘g)(x) = (-5x - 3)(-5x - 3)
(f∘g)(x) = 25x^2 + 15x + 15x + 9
(f∘g)(x) = 25x^2 + 30x + 9
Therefore, (f∘g)(x) = 25x^2 + 30x + 9.
Find (f∘g)(x).
f(x)=x2
g(x)=
–
5x–3
Write your answer as a polynomial in simplest form.
(f∘g)(x)=
1 answer