Tolong ya 1. f(x) = √x dan g(x) = x/x+1 (g • f ) ^-1 (2)
Matematika
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Pertanyaan
Tolong ya
1. f(x) = √x dan g(x) = x/x+1
(g • f ) ^-1 (2)
1. f(x) = √x dan g(x) = x/x+1
(g • f ) ^-1 (2)
1 Jawaban
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1. Jawaban Anonyme
jawab
f(x) = √x
g(x) = x/( x+1)
gof(x) = g { f(x)} = g (√x)
gof(x) = √x / (√x + 1)
(gof)⁻¹ { (√x / (√x +1)} =
(gof)⁻¹ (2) = x
x= √2 / (√2 + 1) --> rasionalkan
x = √2 (√2 - 1)/ (√2+1)(√2 -1)
x = (2 - √2) /(2 -1)
x = 2 - √2