it is given that f(x) is monotonically increasing and f(g(x)) is monotonically increasing
does g(x) is monotonically increasing??
i tried to solve it this way:
i think that it does.so i want to disprove the theory that g(x) is not is monotonically increasing:
suppose that g(x) is monotonically decreasing
if a<b then g(a)>g(b)