Function Oct/Nov 2011 Paper 13

Answer only one of the following two alternatives. EITHER A function $$f$$ is such that $$f (x)=\ln (5 x-10),$$ for $$x>2$$ (i) State the range of $$f$$. (ii) Find $$f ^{-1}(x)$$. (iii) State the range of $$f ^{-1}$$. (iv) Solve $$f(x)=0$$. A function $$g$$ is such that $$g (x)=2 x-\ln 2,$$ for $$x \in R$$. … Read more