Find a formula for the inverse, that is find LaTeX:  \displaystyle f^{-1}(x) if LaTeX:  \displaystyle f(x)=\frac{4 x + 10}{11 x - 2} .

LaTeX:  \displaystyle f^{-1}(x)=\frac{2 \left(x + 5\right)}{11 x - 4}