Question

Express your answer as a polynomial in standard form.

f(x) = x² – 3x + 9

g(x) = 5x – 9

Find: (gof)(x)

Answer:

Answer 1

g(f(x)) = 5x^2 - 15x + 36

Explanation:

f(x) = x² – 3x + 9

g(x) = 5x – 9

(g o f)(x)

g(f(x))

x = f(x) = x^2 - 3x + 9

g(x^2 - 3x + 9)

= 5(x^2 - 3x + 9) - 9

g(f(x)) = 5x^2 - 15x + 36