Step 1 :Given the functions \(f(x)=x^{2}+6 x-5\) and \(g(x)=-x^{2}-3 x-1\), we are asked to find \(f(x)-g(x)\).
Step 2 :To find this, we need to subtract \(g(x)\) from \(f(x)\). This involves subtracting each corresponding term in \(g(x)\) from \(f(x)\).
Step 3 :The difference between the two functions is calculated as \(f(x)-g(x)=2x^2 + 9x - 4\).
Step 4 :So, the final answer is \(f(x)-g(x)=\boxed{2x^2 + 9x - 4}\).