Diketahui:
f(x) = x²-4x-2
x≥2
Ditanyakan:
f-¹(x)
Jawab:
y = x²-4x-2
y+2 = x²-4x
y+2+4 = x²-4x+4
y+6 = (x-2)²
± √(y+6) = x-2
2 ± √(y+6) = x
maka,
f-¹(x) = 2+√(x+6)
atau
f-¹(x) = 2-√(x+6)
Mapel: Matematika
Kelas: 10
Materi: Komposisi Fungsi
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Diketahui:
f(x) = x²-4x-2
x≥2
Ditanyakan:
f-¹(x)
Jawab:
f(x) = x²-4x-2
y = x²-4x-2
y+2 = x²-4x
y+2+4 = x²-4x+4
y+6 = (x-2)²
± √(y+6) = x-2
2 ± √(y+6) = x
maka,
f-¹(x) = 2+√(x+6)
atau
f-¹(x) = 2-√(x+6)
Mapel: Matematika
Kelas: 10
Materi: Komposisi Fungsi