Dik F (x)= 2x dan g (x) = 5-x ...tentukan a) (fog) -1 (x) = dan b) (fog ) -1(1)=
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Pertanyaan
Dik F (x)= 2x dan g (x) = 5-x ...tentukan a) (fog) -1 (x) = dan b) (fog ) -1(1)=
1 Jawaban
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1. Jawaban AkinariAihara
f(x) = 2x dan g(x) = 5 - x
(fog)(x) = f(g(x))
(fog)(x) = 2(5 - x)
(fog)(x) = 10 - 2x
a). (fog)^-1(x)
Misal
y = 10 - 2x
2x = 10 - y
x = (10 - y)/2
(fog)^-1(x) = (10 - x)/2 atau 5 - x/2
b). (fog)^-1(1)
(fog)^-1(x) = (10 - x)/2
(fog)^-1(1) = (10 - 1)/2
(fog)^-1(1) = 9/2
Semoga membantu ^-^