Find a formula for the inverse, that is find LaTeX: \displaystyle f^{-1}(x) if LaTeX: \displaystyle f(x)=\frac{2 x + 4}{4 x - 7} .

LaTeX: \displaystyle f^{-1}(x)=\frac{7 x + 4}{2 \left(2 x - 1\right)}