Invers dari fungsi F(x)= 1/X-5 adalah

[tex]$\begin{align}f(x)&=\frac1{x-5}\\y&=\frac1{x-5}\\y(x-5)&=1\\xy-5y&=1\\xy&=5y+1\\x&=\frac{5y+1}y\\f^{-1}(x)&=\boxed{\frac{5x+1}x}\end[/tex]