Step 1 :Substitute \(x = 2\) into the function \(f(x) = x^2 - 7\) to find \(f(2)\), so \(f(2) = (2)^2 - 7 = 4 - 7 = -3\)
Step 2 :Substitute \(x = 2\) into the function \(g(x) = 2x\) to find \(g(2)\), so \(g(2) = 2*2 = 4\)
Step 3 :Find the value of \(\left(\frac{f}{g}\right)(2)\) by dividing \(f(2)\) by \(g(2)\), so \(\left(\frac{f}{g}\right)(2) = \frac{f(2)}{g(2)} = \frac{-3}{4} = -0.75\)
Step 4 :\(\boxed{\left(\frac{f}{g}\right)(2) = -0.75}\)