If $$\mathrm{f}(x)=\frac{2 x-3}{3 x-4}, x \neq \frac{4}{3}$$, then the value of $$\mathrm{f}^{-1}(x)$$ is

The range of the function $$\mathrm{f}(x)=\frac{x^2}{x^2+1}$$ is

The function $$\mathrm{f}(x)=[x] \cdot \cos \left(\frac{2 x-1}{2}\right) \pi$$, where $$[\cdot]$$ denotes the greatest integer function, is discontinuous at

The domain of the definition of the function $$y(x)$$ is given by the equation $$2^x+2^y=2$$ is