Question

Which expression is equal to (f · g)(x)?

Answer 1

Answer:

A

Step-by-step explanation:

Note that

x² + 12x + 36 is a perfect square → (x + 6)², hence

$\sqrt{x^2+12x+36}$ = $\sqrt{(x+6)^2}$ = (x + 6)

Hence

f(x) × g(x)

= (x + 6)(x³ - 11)

= $x^{4}$ - 11x + 6x³ - 66

= $x^{4}$ + 6x³ - 11x - 66 → A