diketahui f(x)=2x+2 dan g(x)=15/x jika (f-1 o g-1 )(x)=1 maka x?
Matematika
ason3
Pertanyaan
diketahui f(x)=2x+2 dan g(x)=15/x jika (f-1 o g-1 )(x)=1 maka x?
1 Jawaban
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1. Jawaban EdiHeaven
(f-¹og-¹)(x) = (gof)-¹(x)
(gof) (x) = 15 / 2x+2
y = 15 / 2x+2
y(2x+2)= 15
2xy + 2y = 15
2xy = 15-2y
x = 15-2y / 2y
(gof)-¹(x) = 15 - 2x / 2x
1 = 15 - 2x / 2x
2x = 15-2x
2x + 2x = 15
4x=15
x=15/4