# Math Help - Continuous functions

1. ## Continuous functions

Given f and g are both continuous functions, show that max{f,g} and min{f,g} are also continuous.

2. Hi

Hint : $\max(f,g)=\frac{f+g+|f-g|}{2}$ and $\min(f,g)=\frac{f+g-|f-g|}{2}$