Fungsi Exponensial

Contoh Soal :

Jika f ( x ) = ⁵Log ( ( 5x + 1 )/(x – 3 )) maka f^-1( x ) = ………..

f ( x ) = ⁵Log ((5x+1)/(x-3))

5^y = (5x+1)/(x-3)

5^y.x – 3.5^y = 5x-1

5^y.x – 5x = 3.5^y -1

(5^y – 5).x = 3.5^y – 1

X = ( 3.5^y – 1 )/(5^y – 5 )

F ^-1(x) = ( 3.5^x-1 ) / ( 5^x-5 )