Math  /  Algebra

QuestionFind the composite functions for: a) f(x)=3x+2f(x)=3x+2, b) g(h(x))g(h(x)), c) h(g(f(x)))h(g(f(x))).

Studdy Solution
Substitute the result from step6 into the equation.
h(g(f(x)))=cos((3x+2)3)h(g(f(x))) = \cos((3x +2)^3)So, the composite functions area) f(x)=3x+2f(x) =3x +2
b) g(h(x))=(cosx)3g(h(x)) = (\cos x)^3
c) h(g(f(x)))=cos((3x+2)3)h(g(f(x))) = \cos((3x +2)^3)

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