diketahui f(x)=x+1 dan g(x)=2x-1 tentukan a).(fog)(-1) b).(fog)(3) c).(gof)(-2) d).(gof)(1) ?
Matematika
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Pertanyaan
diketahui f(x)=x+1 dan g(x)=2x-1 tentukan a).(fog)(-1) b).(fog)(3) c).(gof)(-2) d).(gof)(1) ?
2 Jawaban
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1. Jawaban dinimaihesty
a. (fog)(-1) = f(g(-1))
= 2(-1)-1+1
= -2-1+1 = -2
b (fog)(3) = f(g(3))
= 2(3)-1+1
= 6-1+1 = 6
c. (gof)(-2) = g(f(-2))
= 2(-2+1)-1
= -4+2-1 = -3
d. (gof)(1) = g(f(1))
= 2(1+1)-1
= 2+2-1 = 3
semoga membantu
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2. Jawaban udink
Cari dulu (fog)(x) dan (gof)(x)
f(g(x))=2x-1+1=2x dan g(f(x))=2(x+1)-1=2x+1, maka
a. (fog)(-1)=2(-1)=-2
b. (fog)(3)=2(3)=6
c. (gof)(-2)=2(-2)+1=-3
d. (gof)(1)=2(1)+1=3