SOLUTION: Solution checking 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). (f∘g)(x)=3x^2+1 (g∘f)(x)=(3x−2)^2+1 my

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Question 1120857: Solution checking
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).
(f∘g)(x)=3x^2+1
(g∘f)(x)=(3x−2)^2+1
my other solution to (g∘f)(x)
g(f(x)) = x² + 1
g(3x-2) = x² + 1
g(3x-2) = (3x-2)² + 1
g(3x-2) = 9x² - 12x + 4 + 1
g(3x-2) = 9x² - 12x + 5

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

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