The function $f$ is defined as follows.
\[
f(x)=\frac{x^{2}+11 x+10}{x^{2}-64}
\]
Find $f(-9)$

Answer

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Answer

So, the value of the function $f(x)$ at $x = -9$ is $\boxed{-0.47058823529411764}$

Steps

Step 1 ：The function $f$ is defined as follows: \[f(x)=\frac{x^{2}+11 x+10}{x^{2}-64}\]

Step 2 ：We are asked to find the value of the function $f(x)$ at $x = -9$. To do this, we substitute $x = -9$ into the function.

Step 3 ：After substituting $x = -9$ into the function, we simplify to get $f(-9) = -0.47058823529411764$

Step 4 ：So, the value of the function $f(x)$ at $x = -9$ is $\boxed{-0.47058823529411764}$