Let f(x) = 4x2–6 and g(x)=x–2.
(a) Find the composite function (f∘g)(x) and simplify. Show work.
(b) Find (f∘g)(−1). Show work.
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(a) The composite function is,
=4(x−2)2−6 [replacing x by x−2∈f(x)]
b) Replacing x by -1 in the composite function, we get
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