Jika f (x) =1/x dan g(x) =2x-1, tentukan (fog) ¯¹(x)
Matematika
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Pertanyaan
Jika f (x) =1/x dan g(x) =2x-1, tentukan (fog) ¯¹(x)
1 Jawaban
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1. Jawaban dedenkusnandar
f(x) = 1/x
g(x) = 2x - 1
(fog) (x)
= 1 / (2x - 1)
y = 1 / (2x - 1)
y(2x - 1) = 1
2yx - y = 1
2yx = 1 + y
x = (1 + y) / 2y
f-¹(x) = (1 + x) / 2x
x ≠ 0