\[
f(x)=x^{2}-4 \text { and } g(x)=4 x
\]
Step 2 of 2: Find the formula for $\left(\frac{f}{g}\right)(x)$ and simplify your answer. Then find the domain for $\left(\frac{f}{g}\right)(x)$. Round your answer to two decimal places, if necessary.
Answer
\[
\left(\frac{f}{g}\right)(x)=
\]
Domain $=$

Step 1 ：The function \(\left(\frac{f}{g}\right)(x)\) is the division of the function \(f(x)\) by the function \(g(x)\). To find the formula for this function, we need to divide \(f(x)\) by \(g(x)\). The domain of this function will be all real numbers except for the values of \(x\) that make \(g(x)\) equal to zero, because division by zero is undefined.

Step 2 ：The formula for \(\left(\frac{f}{g}\right)(x)\) is \(\frac{x^2 - 4}{4x}\). The domain of this function is all real numbers except for 0, because when \(x = 0\), \(g(x) = 0\), and division by zero is undefined.

Step 3 ：Final Answer: \(\boxed{\left(\frac{f}{g}\right)(x)=\frac{x^2 - 4}{4x}}\) Domain \(= \mathbb{R} - \{0\}\)