Mathematics

Question

Evaluate h(4), where h=g of f
Evaluate h(4), where h=g of f

1 Answer

  • [tex]h(4)=(gof)(4)=g(f(4))[/tex] so you must find [tex]f(4)[/tex] first.

    [tex]f(4)= \frac{1}{4-3} =1[/tex]

    [tex]h(4)=(gof)(4)=g(f(4))=g(1)[/tex]

    So you look at what g(1) is?

    [tex]g(1)=1^2+3=4[/tex]

    Therefore, h(4)=4
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