Hi Tutors,

I need help with this study question. Please include steps and please answer both a and b parts. Thanks a million!

Define S = Qn [0, 1] and the function f : S -> S that satisfies f(0) = 0 and when p and q are coprime: = 2p + 3q (a) For what value(s) of c E S is the function continuous at @ = c? (b) For what value(s) of c E S is the function differentiable at @ = c