Let f(x) = 4x^2–6 and g(x)=x–2.(a) Find the composite function (f@g)(x) and simplify. Show work.(b) Find (f@g)(−1). Show work.

Chesley 2020-12-25 Answered

Let f(x) = 4x26 and g(x)=x2.
(a) Find the composite function (fg)(x) and simplify. Show work.
(b) Find (fg)(1). Show work.

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Expert Answer

SoosteethicU
Answered 2020-12-26 Author has 102 answers

(a) The composite function is,
(fg)(x)=f(g(x))
=f(x2)
=4(x2)26 [replacing x by x2f(x)]
=4(x24x+4)6
=4x216x+166
4x216x+10
b) Replacing x by -1 in the composite function, we get
(fg)(1)=4(1)216(1)+10
=4+16+10
=30

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