The functions \( r \) and \( s \) are defined as \( f \) \[ \begin{array}{r}r(x)=-x \\ s(x)=-x^{2}-2 \\ \text { Find the value of } s(r(2)) \\ s(r(2))=\end{array} \] \[ \text {. } \]

First, we need to find the value of \( r(2) \). According to the function \( r(x) = -x \), we can substitute \( x = 2 \): \[ r(2) = -2 \] Next, we take this result and plug it into the function \( s(x) = -x^2 - 2 \): \[ s(r(2)) = s(-2) = -(-2)^2 - 2 \] Calculating \( (-2)^2 \): \[ (-2)^2 = 4 \] Now, substitute it back into the function \( s \): \[ s(-2) = -4 - 2 = -6 \] Thus, we find that: \[ s(r(2)) = -6 \]