differentiating the f(x)
we get
f'(x)= \frac{x+4}{(2+x)^{2}}
which is positive for x>0
thus f(x) is increasing in that intreval
differentiating the f(x)
we get
f'(x)= \frac{x+4}{(2+x)^{2}}
which is positive for x>0
thus f(x) is increasing in that intreval