Question

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)

Answer 1

-84

Explanation:

Took the test

Answer 2

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