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

−42
−84
42
84

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

 −42
 −84
 42
 84

taramgrant0543664 · Answer

So your first step is to multiply the function f by function g
(3x2+2)(x-8)=?

taramgrant0543664 · Answer

You have to expand first
(3x^2+2)(x-8)=?
= 3x^3-24x^2+2x-16

taramgrant0543664 · Answer

Then you can substitute in 2 as x

taramgrant0543664 · Answer

3(2)^3-24(2)^2-2(2)-16=?
What did you get?

taramgrant0543664 · Answer

I got -84
You can tell this also because 3x+2 is 14 and x-8 is -6 which equals -84