SOLUTION: Find each pair of functions, find f(g(x)) and g(f(x)) {{{f(x)=x^2-2}}}, {{{g(x)=4x+1}}} Thank you!!!

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Question 273696: Find each pair of functions, find f(g(x)) and g(f(x))
f%28x%29=x%5E2-2, g%28x%29=4x%2B1
Thank you!!!
Answer by stanbon(57395) About Me  (Show Source):
You can put this solution on YOUR website!

Find each pair of functions, find f(g(x)) and g(f(x))
f%28x%29=x%5E2-2, g%28x%29=4x%2B1
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f(g(x)) = f(4x+1) = (4x+1)^2 -2 = 16x^2+8x+1-2 = 16x^2+8x-1
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g(f(x)) = g(x^2-2) = 4(x^2-2)+1 = 4x^2-8+1 = 4x^2-7
===========================
Cheers,
Stan H.