Let fRR+, where R+ are the positive reals, be given by f(x) = e. A function g: R R is strictly increasing if x < y implies g(x) < g(y) (a) (10) Assuming that f(x) = e is strictly increasing, prove that it is injective (that is 1-1). (b) (15) Given that e> 1 for all x > 0, prove that f(x) = e is strictly increasing