Problem
Let $f(x)=x^{2}-19$ and $g(x)=20-x$. Perform the composition or operation indicated. $\left(\frac{f}{g}\right)(0)$ \[ \left(\frac{\mathrm{f}}{\mathrm{g}}\right)(0)= \] (Simplify your answer. Type an integer or a fraction.)
Solution
Step 1 ：\(f(0) = (0)^{2}-19 = -19\)
Step 2 ：\(g(0) = 20 - 0 = 20\)
Step 3 ：\(\left(\frac{f}{g}\right)(0) = \frac{f(0)}{g(0)}\)
Step 4 ：\(\left(\frac{f}{g}\right)(0) = \frac{-19}{20}\)
Step 5 ：\(\boxed{\frac{-19}{20}}\)
