diketahui(f°g)(x)=x²+4jika g (x)=x-1,f(x)=
Matematika
RyanArdi11
Pertanyaan
diketahui(f°g)(x)=x²+4jika g (x)=x-1,f(x)=
2 Jawaban
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1. Jawaban dimasprayoga2p2jg55
(fog)(x)=x²+4
g (x)=x-1
f(g(x))=x²+4
f((x-1))=x²+4
misal
p=x-1
x=p+1
f(p+1)=(p+1)^2 +4
= p^2 + 2p + 1 + 4
= p^2 + 2p + 5
f(x)=X^2 + 2x + 5
Mohon dikoreksi apabila salah -
2. Jawaban egaariannooz3h42
(fog)(x) = f(g(x)) = x² + 4
misal :
x - 1 = p
p + 1 = x
f(x - 1) = x² + 4
f(p) = (p + 1)² + 4
f(p) = p² + 2p + 1 + 4
f(p) = p² + 2p + 5
jadi f(x) = x² + 2x + 5