01-02-2017
Mathematics

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

Evaluate h4 where hg of f class=

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01-02-2017

[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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