Diketahui:
f(x) = (2x+5)/(3x-4)
Ditanyakan:
f-¹(x)
Jawab:
y = (2x+5)/(3x-4)
y(3x-4) = 2x+5
3xy-4y = 2x+5
3xy-2x = 5+4y
x(3y-2) = 5+4y
x = (5+4y)/(3y-2)
f-¹(x) = (5+4x)/(3x-2)
Syarat:
3x-2 ≠ 0
3x ≠ 2
x ≠ 2/3
Mapel: Matematika
Kelas: 10
Materi: Fungsi
Jawaban terlampir...
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Diketahui:
f(x) = (2x+5)/(3x-4)
Ditanyakan:
f-¹(x)
Jawab:
f(x) = (2x+5)/(3x-4)
y = (2x+5)/(3x-4)
y(3x-4) = 2x+5
3xy-4y = 2x+5
3xy-2x = 5+4y
x(3y-2) = 5+4y
x = (5+4y)/(3y-2)
f-¹(x) = (5+4x)/(3x-2)
Syarat:
3x-2 ≠ 0
3x ≠ 2
x ≠ 2/3
Mapel: Matematika
Kelas: 10
Materi: Fungsi
Jawaban terlampir...