For f(x)= (x+3)^2/(4x-5) find all x such that f(x) increases.
f(x) increases means that f'(x) > 0
f'(x) = 2(x+3)(2x-11)/(4x-5)^2
So, just find the intervals where f'(x) is positive
f'(x) = 2(x+3)(2x-11)/(4x-5)^2
So, just find the intervals where f'(x) is positive