Question

Given f(x) = x2 + 6x and g(x) = 2x3, which of the following are true? Check all correct answer(s).

A) f(x)•g(x) = 2x5 + 12x3
B) f(0)· g(2) = 16
C) f(1).g(1) = 14
D) g(x)•g(x) = 4x6

Answer 1

C and D are true

Explanation:

A

f(x) × g(x) = 2x³(x² + 6x) = 2
`x^(5)` + 12
`x^(4)`

B

f(0) = 0² + 6(0) = 0 + 0 = 0 ≠ 16

C

f(1) = 1² + 6(1) = 1 + 6 = 7

g(1) = 2(1)² = 2

f(1) × g(1) = 7 × 2 = 14 ← True

D

g(x) × g(x) = 2x³ × 2x³ = 4
`x^(6)` ← True