Dik : g(x) = 4x-5/2x-5 Tentukanlah : g(invers)(x)

y = (4x - 5)/(2x - 5)
2xy - 5y = 4x - 5
2xy - 4x = 5y - 5
x(2y - 4) = 5y - 5
x = (5y - 5)/(2y - 4)
g⁻¹(x) = (5x - 5)/(2x - 4)

[tex]g(x)= \frac{4x-5}{2x-5} \\ y= \frac{4x-5}{2x-5} \\ 2xy-5y=4x-5 \\ 2xy-4x=5y-5 \\ x(2y-4)=5y-5 \\ x= \frac{5y-5}{2y-4} \\ g^{-1}=\frac{5x-5}{2x-4}[/tex]
semoga membantu ya :)