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.)

Answer

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Answer

$\boxed{\frac{-19}{20}}$

Steps

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 ：$\boxed{\frac{-19}{20}}$