Give an example of two functions f R R and g R R that do

Give an example of two functions f : R ? R and g : R ? R that do not commute under composition, and show that they do not commute.

Solution

Here\'s an example that could bring the point home:
f = x+1
g = x^2
f(g) = x^2 + 1
g(f) = x^2 +2x +1

Hence they don\'t compute which have the relation from R-> R