Let the polynomial functions \(f\) and \(g\) be defined as \(f(x)=x^2+7x-3\) and \(g(x)=x^2-4x+5\). Let \(h(x)=f(x)-g(x)\). What is \(h(2)\) ?

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$$ h(x) = f(x)-g(x) $$ $$ h(x) = x^2+7x-3 - (x^2-4x+5) $$ $$ h(x) = 11x-8 $$ $$ h(2) = 11(2)-8 $$ $$ = \boxed{14} $$