SOLUTION: For f(x) = 3x-2 and g(x) = x2+1, find the composite function defined by f o g(x) and g o f(x).

SOLUTION: For f(x) = 3x-2 and g(x) = x2+1, find the composite function defined by f o g(x) and g o f(x).

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Question 1134347: For f(x) = 3x-2 and g(x) = x2+1, find the composite function defined by f o g(x) and g o f(x).
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
f(x) = 3x-2 and g(x) = x^2+1
:
f o g(x) = 3(x^2+1) -2 = 3x^2 +3 -2 = 3x^2 +1
:
g o f(x) = (3x-2)^2 +1 = 9x^2 -12x +4 +1 = 9x^2 -12x +5
:

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