A rescarcher is modelling the evolution of a company's market share in time using the function f(x)= F(x) = Rx/1+Mx
Here x represents the company's market share in a particular year, and f(x) the market share in the following year (test your undentanding: what would f(f(x)) represent?), The parameters R, M (which depend on the company and its relationship to the market) satisfy M>R−1>0. Since x represents a proportion of the market, the domain of f is the interval [0,1]. (a) Solve the equation f(x)=x. (b) Describe in a paragraph what the solution(s) found in part (a) represent, in terms of market shares.