Functions - Qs 3

(i) Express in the form

ii) The function f is defined by for x < k, where 'k' is a constant. State the largest value of 'k' for which f is a decreasing function.

iii) The value of k is now given to be 1. Find an expression for and state the domain of .

iv) The function g is defined by g(x) = for . Find an expression for gf(x) and state the range of gf.