Merging two functions So I have two fuctions like this :-
$f(x) = (x/5)^2$
and $g(x) = \sqrt{(x/5)}$
and a third fuction as a combination of both
$ h(x) =  \Biggl[ { }^{ x\; \lt \; 5 : \; f(x) }_{ x \;\ge \; 5: \; g(x)}\Biggr] $
When I put $x =5$ in the first function I get $f(5) = 1$ and in the second one I get $g(5) = 1\;$. That means h(x) is countinous at $x =5$ is there any way I can converge $h(x)$ into a single function??

$$h(x) = \left ( \frac 1 {10} \left (x - 5 - \sqrt {\strut (x - 5)^2} \right ) + 1 \right )^2 \sqrt {\frac 1 {10} \left (x - 5 + \sqrt {\strut (x - 5)^2} \right ) + 1}$$
