SOLUTION: find function f such that g(x)= 1/x-5 h=g o f, and h(x)=1/(x^2-5) Thank you!

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Question 122560: find function f such that g(x)= 1/x-5
h=g o f, and h(x)=1/(x^2-5)
Thank you!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find function f such that g(x)= 1/x-5
h=g o f, and h(x)=1/(x^2-5)
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h(x) = gof(x) = g[f(x)] = 1/[f(x)-5)]
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But h(x) = 1/(x^2-5)
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1/[f(x)-5] = 1/[x^2-5]
f(x)-5 = x^2-5
f(x) = x^2
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Cheers,
Stan H.