SOLUTION: Find (g•w)(x) and (w•g)(x) for g(x) =3x-2 and w(x) =x^2-3x+4. Please help me!!

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Question 942507: Find (g•w)(x) and (w•g)(x) for g(x) =3x-2 and w(x) =x^2-3x+4. Please help me!!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
find:
%28g%2Aw%29%28x%29 and %28w%2Ag%29%28x%29 for g%28x%29+=3x-2 and w%28x%29+=x%5E2-3x%2B4
first recall that %28g%2Aw%29%28x%29=%28w%2Ag%29%28x%29 (commutative property of multiplication)
so, %28g%2Aw%29%28x%29=%283x-2%29%28x%5E2-3x%2B4%29
%28g%2Aw%29%28x%29=3x%28x%5E2-3x%2B4%29-2%28x%5E2-3x%2B4%29
%28g%2Aw%29%28x%29=%283x%5E3-9x%5E2%2B12x%29-%282x%5E2-6x%2B8%29
%28g%2Aw%29%28x%29=3x%5E3-9x%5E2%2B12x-2x%5E2%2B6x-8
%28g%2Aw%29%28x%29=3x%5E3-11x%5E2%2B18x-8
then, also %28w%2Ag%29%28x%29=3x%5E3-11x%5E2%2B18x-8