Given the following functions f(x) and g(x), solve for (f ⋅ g)(2) and select the correct answer below: f(x) = 3x2 + 2 g(x) = x − 8 (1 point)

Question

asked Dec 11, 2018 61.8k views

2 Answers

Dragas · Answer 1 · 2018-12-17T06:55:02+0000

Answer:

Given the functions:

f(x) = 3x^2+2

g(x) = x-8

we have to find
$(f \cdot g)(2)$

$(f \cdot g)(2) = f(2) \cdot g(2)$ ....[1]

Substitute the value of x = 2 in f(x) and g(x) we have;

f(2) = 3(2)^2+2 =12+2 = 14 and

g(2) = 2-8 = -6

Substitute these in [1] we have;

$(f \cdot g)(2) = 14 \cdot -6 = -84$

Therefore, the value of
$(f \cdot g)(2)$ is, -84