tentukan f(x) jika (fog)(x) = x+5/2x-7 G(x) =2x+3
Matematika
sintaui
Pertanyaan
tentukan f(x) jika
(fog)(x) = x+5/2x-7
G(x) =2x+3
(fog)(x) = x+5/2x-7
G(x) =2x+3
1 Jawaban
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1. Jawaban ichitan
(f•g)(x)=x+5/2x-7
f(g(x))=x+5/2x-7
f(2x+3)=x+5/2x-7
misalkan a=2x+3,maka x=a-3/2
f(x)=x+5/2x-7
f(a)=(a-3/2)+5/2(a-3/2)-7
f(a)=a-3+10/2/2a-6-14/2
f(a)=a+7/2/2a-20/2
f(a)=a+7•2/2•2a-20
f(a)=2a+14/4a-40
f(a)=1/2a-7/20
f(x)=1/2x-7/20