Jika f(x)=3^2x-1 maka fungsi inversnya
Matematika
Biruberlian12
Pertanyaan
Jika f(x)=3^2x-1 maka fungsi inversnya
1 Jawaban
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1. Jawaban Anonyme
Kelas 10 Matematika
Bab Fungsi Komposisi
^ = pangkat
f(x) = 3^(2x - 1)
y = 3^(2x - 1)
log y = log 3^(2x - 1)
log y = (2x - 1) . log 3
2x - 1 = (log y)/(log 3)
2x = (³log y) + 1
x = (³log y + ³log 3)/2
x = (1/2) . (³log 3y)
f⁻¹ (x) = (1/2) . (³log 3x)