Step 1 :First, we need to find the value of \(\left(\frac{g}{f}\right)(-1)\). This is done by substituting \(x=-1\) into the function \(\frac{g(x)}{f(x)}\).
Step 2 :Next, we need to find the values that are not in the domain of \(\frac{g}{f}\). These are the values of \(x\) for which \(f(x) = 0\), because division by zero is undefined in mathematics. So we solve the equation \(f(x) = 0\) to find these values.
Step 3 :Final Answer for part (a): \(\left(\frac{g}{f}\right)(-1) = \boxed{-1.0}\)
Step 4 :Final Answer for part (b): Value(s) that are NOT in the domain of \(\frac{g}{f}\) : \(\boxed{\frac{8}{3}}\)