Question

Evaluate ( f g )(x) if f(x) = 3x2 + 3 and g(x) = 3x – 1 when x = 2.

Answer 1

Answer:

$(fg)(x) = 75$

Step-by-step explanation:

Given

$f(x) = 3x^2 + 3$

$g(x) = 3x - 1$

Required

Evaluate (fg)(x) for x = 2

In algebra functions

$(fg)(x) = f(x) * g(x)$

Substitute values for f(x) and g(x)

$(fg)(x) = (3x^2 + 3) * (3x - 1)$

Substitute 2 for x

$(fg)(x) = (3*2^2 + 3) * (3*2 - 1)$

$(fg)(x) = (3*4 + 3) * (6 - 1)$

$(fg)(x) = (12 + 3) * (5)$

$(fg)(x) = (15) * (5)$

$(fg)(x) = 15 * 5$

$(fg)(x) = 75$