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Matematika SMA Kelas XI
g(x) = [2x] / [x - 1] dan f⁻¹(g(x)) = x - 1
Ditanya f(4)
Gunakan sifat f⁻¹(a) = b menjadi f(b) = a
Maka,
f(x - 1) = [2x] / [x - 1]
f(4) = f(x - 1) ⇒ x - 1 = 4, sehingga x = 5
Substitusikan x = 5 ke ruas kanan
f(4) = [2(5)] / [5 - 1]
Diperoleh nilai f(4) = ⁵/₂