f(x) = 5^(2x +1) tentukan inversnya f^-1 (x)...

Question

f(x) = 5^(2x +1) tentukan inversnya f^-1 (x)

Nik N · Answer

f(x) = 5^2x + 1
=> y = 5^2x + 1
=> y - 1 = 5^2x
=> log(y-1) = log5^2x
=> log(y-1) = 2x log5
=> 5'log(y-1) = 2x
=> x = 5'log(y-1)
=> f invers x = 5'log(x-1)

Annissa A · Answer

(2x+1) nya semua jd pangkat kak bukan 5^(2x) + 1

f(x) = 5^(2x +1) tentukan inversnya f^-1 (x)

f(x) = 5^2x + 1 => y = 5^2x + 1 => y - 1 = 5^2x => log(y-1) = log5^2x => log(y-1) = 2x log5 => 5'log(y-1) = 2x => x = 5'log(y-1) => f invers x = 5'log(x-1)

Mau jawaban yang terverifikasi?