The function f is defined by $$\(\mathrm{f}(x)=\frac{2 x+1}{2 x-1}\)$$ for $$\(x< \frac{1}{2}\)$$ ． （a）（i）State the value of $$\(f(-1)\)$$ ． ［1］ ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . （ii） The diagram shows the graph of $$\(y=\mathrm{f}(x)\)$$ ．Sketch the graph of $$\(y=\mathrm{f}^{-1}(x)\)$$ on this diagram． Show any relevant mirror line． ［2］ （iii）Find an expression for $$\(\mathrm{f}^{-1}(x)\)$$ and state the domain of the function $$\(\mathrm{f}^{-1}\)$$ ． ［4］ ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . ................................................................................................................................................ . The function g is defined by $$\(\mathrm{g}(x)=3 x+2\)$$ for $$\(x \in \mathbb{R}\)$$.

Answer:

Knowledge points:

Solution: