let g(x)=2x and h(x)=x^2+4 find the value. (hog)(a) Question let g(x)=2x and h(x)=x^2+4 find the value. (hog)(a) in progress 0 All 1 month 2022-04-09T19:16:55+00:00 2022-04-09T19:16:55+00:00 0 Answers 0
Answers ( 1 )
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]