The functions $u$ and $w$ are defined as follows.
\[
\begin{array}{l}
u(x)=-x-1 \\
w(x)=x^{2}+2
\end{array}
\]
Find the value of $u(w(3))$.

Answer

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Answer

$\boxed{-12}$ is the final answer

Steps

Step 1 ：Define the functions $u(x) = -x - 1$ and $w(x) = x^2 + 2$

Step 2 ：Find the value of $w(3)$ by substituting $x = 3$ into the function $w(x)$

Step 3 ：Substitute the value of $w(3)$ into the function $u(x)$ to find the value of $u(w(3))$

Step 4 ：Calculate the final value of $u(w(3))$

Step 5 ：$\boxed{-12}$ is the final answer