Find Domain and Range of a function, its inverse and sketch graph

Given a function f(x)=√(1-2x)
(a) Show that f(x) is one to one function
(b) Find the domain and range of f(x)
(c) Determine the inverse function of f(x) and state its domain and range
(d) Sketch the graph of f(x) and f^(-1) (x) on the same axis.