Show that the set $\{ x \in [ a,b ] : f(x) = g(x)\}$ is closed in $\Bbb R$.

Let $f : [a,b] \to\Bbb R$ and also $g : [a,b] \to\Bbb R$ be 2 continual functions on $[a,b]$. Show that the set $\{ x \in [ a,b ] : f(x) = g(x)\}$ is enclosed $\Bbb R$.