SOLUTION: if f(x)=3x^2-x+1 and g(x)=x-2, determine (f o g)(x) and simplify.

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Question 785746: if f(x)=3x^2-x+1 and g(x)=x-2, determine (f o g)(x) and simplify.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
g(x) would be the input for f(x). Form the composition:
f%28g%28x%29%29=3%28x-2%29%5E2-%28x-2%29%2B1

Simplify:
3%28x%5E2-4x%2B4%29-x%2B2%2B1
3x%5E2-12x%2B12-x%2B3
3x%5E2-13x%2B15

highlight%28f%28g%28x%29%29=3x%5E2-13x%2B15%29