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Find f(x) and g(x) such that h(x) = (f @ g)(x)

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2 Answers

Hi Keith,
We know h(x) = (6-8x)^2.
Also h(x) = (f@g)(x) and g(x)=6-8x.
So for the composite function f@g(x), we can replace g(x) by 6-8x,so we get
= f(6-8x) = (6-8x)^2.  ---(1)
since the question wants you to find f(x), we can simply replace 6-8x by x.
so from (1), we get
f(x) = x^2