Invers F(x)=1/3-x dan g(x)= x-4 tentukan (foq)-1(x) dan (gof)-1(x)
Matematika
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Pertanyaan
Invers F(x)=1/3-x dan g(x)= x-4 tentukan (foq)-1(x) dan (gof)-1(x)
1 Jawaban
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1. Jawaban Saya455937
Ingat:
f(×) = ax+b/c×+d
f^-1(x)= -dx+b/cx-a
Jawab:
>(fog)(x) = 1 / 3-(x-4)
= 1/-3x+12
(fog)^-1(x)=-12x+1 / -3x
>(gof)(x)= (1 / 3-x) -4
= -4 / 3-x
= -4 / -x+3
(gof)^-1(x) = -3x-4 / -x