Answer:
The quick answer I think will help you in the long run is that (f*g)(x) is just another way of saying f(x)*g(x). If that is enough, then ignore the rest of my response. Otherwise, keep reading.
For this problem
Step-by-step explanation:(f*g)(x) = f(x)*g(x)
You are given f(x) = 3x + 2 and g(x) = x^2 + 1. Simply substitute these expressions as follows:
f(x)*g(x) = (3x + 2)*(x^2 + 1)
Notice how I put each expression in parentheses. This practice will help immensely when dealing with more complicated expressions like this. Next, we simplify:
(3x + 2)*(x^2 + 1) = (3x)(x^2) + (3x)(1) + (2)(x^2) + (2)(1) <-- the foil method
= 3x^3 + 3x + 2x^2 + 2 <-- simplify each term
= 3x^3 + 2x^2 + 3x + 2 <-- reorganize and group like terms
hope this helped!
