Question

Express your answer as a polynomial in standard form.

f(x) = x + 5
g(x) = x² 4x + 8
Find: g(f(x))

Answer 1

Explanation:

(x+5)² - 4(x+5) + 8

x² + 10x + 25 - 4x -20 + 8

x² + 6x + 13.

Set the expression to 0

By solving the quadratic equation,

x = -3 +2i

x = -3 -2i

.: x = -3+2i, -3-2i.