Diketahui:
f(x) = 3^(2x-1)
Ditanyakan:
f-¹(9)
Jawab:
f(x) = 3^+2x-1)
y = 3^+2x-1)
³logy = 2x-1
³logy+1 = 2x
1/2(³logy+1) = x
f-¹(x) = 1/2(³logx+1)
f-¹(9) = 1/2(³log9+1)
= 1/2(³log3³+1)
= 1/2(3+1)
= 1/2(4)
= 2
Mapel: Matematika
Kelas: 10
Materi: Fungsi Invers
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Diketahui:
f(x) = 3^(2x-1)
Ditanyakan:
f-¹(9)
Jawab:
f(x) = 3^+2x-1)
y = 3^+2x-1)
³logy = 2x-1
³logy+1 = 2x
1/2(³logy+1) = x
f-¹(x) = 1/2(³logx+1)
f-¹(9) = 1/2(³log9+1)
= 1/2(³log3³+1)
= 1/2(3+1)
= 1/2(4)
= 2
Mapel: Matematika
Kelas: 10
Materi: Fungsi Invers