Fill in the blanks please I don’t understand

Question

Complete this activity

Given: F(x)=x+2 and G(x)=3x+5

(F•G)(x)=

fill in: _ x _ _ _ _ x _ _ _

Answer 1

So, let's answer this question first and worry about the blanks second.

Given: F(x)=x+2 and G(x)=3x+5

(F•G)(x)=

What this means is create a function (F * G) and the input to this function is F.

First thing you need to do is replace "F" and "G" with the right equations.

(x+2)(3x+5)

Next, distribute the terms and simplify the equation:

(3x² + 5x + 6x + 10)

Distribute the last x and add the like terms:

3x² + 11x +10 .

And unless I am mistaken, you have enough terms using the exponents, numbers, and addition symbols to fill up all the spots.

Answer 2

We are given f(x) = x+2 and g(x) = 3x+5

(f*g)(x) = f(x)*g(x) = (x+2)*(3x+5), so now we foil and we get (f*g)(x) = 3x^2 + 5x + 6x + 10 = 3x^2 + 11x + 10.

Hope that makes sense.

Answer 3

Is that function composition or function multiplication?

For composition it is:

f comp G = f(g(x)) = 3x+5+2 = 3x+7

For multiplication it is:

(x+2)(3x+5) = 3x^2 + 5x+6x+10

= 3x^2 + 11x + 10

The latter seems to be the better fit for

the format of the answer you are showing