F(x) = 2x + 1 / 3x - 5 tentukan f invers (x)

jawab

f(x)= (2x + 1) /(3x-5)
y  = (2x +1)/(3x - 5)
y(3x - 5) = 2x + 1
3xy - 5y = 2x+ 1
3xy - 2x = 5y  + 1
x(3y - 2) = 5y + 1
x = (5y +1)/(3y - 2)
f⁻¹(y) = (5y +1)/(3y -2)
f⁻¹(x) = (5x + 1)/(3x - 2)