jika f(x) =1 per x dan g(x) = 2x - 1 maka (fog) negatif 1(x) =
Matematika
nadyaratna
Pertanyaan
jika f(x) =1 per x dan g(x) = 2x - 1 maka (fog) negatif 1(x) =
2 Jawaban
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1. Jawaban ilhamsyafri
g invers = (x+1)/2
f invers = 1/x
fog invers = g invers o f invers = ((1/x)+1)/2 = ((1+x)/x)/2 -
2. Jawaban arsetpopeye
f(x) = 1/x
g(x) = 2x - 1
(f o g)(x) = f(g(x)) = 1/g(x) = 1/(2x - 1)
1/(2x - 1) = y
2xy - y = 1
2xy = y + 1
x = (y + 1)/(2y)
(f o g)^-1(x) = (x + 1)/(2x)