Find (f∘g)(x).

Question

f(x)=4x–1
g(x)=2x2–3x+4
Write your answer as a polynomial in simplest form.
(f∘g)(x)=

Answer 1

To find (f∘g)(x), we need to substitute the expression for g(x) into f(x):

f(g(x)) = 4(2x^2-3x+4) - 1

Multiplying through, we get:

f(g(x)) = 8x^2 - 12x + 16 - 1

Simplifying, we have:

(f∘g)(x) = 8x^2 - 12x + 15