SOLUTION: Find f(x) and g(x) such that h(x) = (fog)(x) h(x)= sqrt(-81x^2+71)

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Question 1037845: Find f(x) and g(x) such that h(x) = (fog)(x)
h(x)= sqrt(-81x^2+71)
Found 2 solutions by stanbon, josgarithmetic:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find f(x) and g(x) such that h(x) = (fog)(x)
h(x)= sqrt(-81x^2+71)
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fog(x) = sqrt[-81x^2+71]
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g(x) = -81x^2+71
f(x) = sqrt(x)
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Cheers,
Stan H.
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Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
More than one answer possible. Look at the addition of 71 for one way.

h%28x%29=sqrt%28g%2B71%29 and this means g=-81x%5E2; from that you expect the composition to include f%28x%29=sqrt%28x%2B71%29.