let x and y from R:
(x + 2)^3 - (y + 2)^3 = (x-y)((x+2)^2 + (x+2)(y+2) + (y+2)^2)
((x+2)^2 + (x+2)(y+2) + (y+2)^2)>= ((x+2)^2 - 2 |(x+2)(y+2)| + (y+2)^2)>=0
than
(x + 2)^3 - (y + 2)^3 >= 0 => (x-y)>=0 => x >= y
than f is increasing in R
or
h(x) = x + 2 is increasing and g(x) = x^3 is increasing than f = goh(x) is increasing