let g(x)=2x and h(x)=x^2+4 find the value. (hog)(a)

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let g(x)=2x and h(x)=x^2+4 find the value. (hog)(a)

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2022-04-09T19:16:55+00:00 0 Answers 0

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  1. Serenity
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    2022-04-09T19:18:52+00:00

    in short, (h o g)(a) is just h( g(a) ).

    so what we can do is simply get g(a) first and then plug that in h(x).

    [tex]bf begin{cases}ng(x)&=2xnh(x)&=x^2+4n(hcirc g)(a)&=h(~~g(a)~~)nend{cases}nng(a)=2(a)implies g(a)=2annh(~~g(a)~~)implies h(~~2a~~)=(2a)^2+4nnh(~~2a~~)=(2^2a^2)+4implies h(~~2a~~)=4a^2+4[/tex]

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45:5+15*4 = ? ( )