Question

f(x) = x + 2 \quad g(x) = x - 4

(f g)(x) =

• 2x - 2
• x^2 - 8
• x^2 - 2x - 8
• x^2 + 2x - 8

Explanation:

Define function multiplication

$$ (fg)(x) = f(x) \cdot g(x) $$

Substitute given functions

$$ (fg)(x) = (x + 2)(x - 4) $$

Expand the polynomial expression

$$
LATEXBLOCK0
$$

Answer:

• \(2x - 2\)
• \(x^2 - 8\)
• \(x^2 - 2x - 8\) (Correct answer)
• \(x^2 + 2x - 8\)