Let f(x)=3x5\displaystyle {f{{\left({x}\right)}}}=\sqrt{{{3}{x}-{5}}}. Expand and simplify:

f(x+h)f(x)h=\displaystyle \frac{{{f{{\left({x}+{h}\right)}}}-{f{{\left({x}\right)}}}}}{{h}}= (Enter the limit in reduced form)