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

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UpStudy AI · Accepted Answer

To find the value of $$ s(r(2)) $$, we'll follow these steps:

1. **Evaluate $$ r(2) $$**
   
   Given:
   $$
   r(x) = -x
   $$
   
   Substitute $$ x = 2 $$:
   $$
   r(2) = -2
   $$

2. **Evaluate $$ s(r(2)) = s(-2) $$**
   
   Given:
   $$
   s(x) = -x^2 - 2
   $$
   
   Substitute $$ x = -2 $$:
   $$
   s(-2) = -(-2)^2 - 2
   $$
   
   Calculate $$ (-2)^2 $$:
   $$
   (-2)^2 = 4
   $$
   
   Substitute back:
   $$
   s(-2) = -4 - 2 = -6
   $$

**Final Answer:**
$$
s(r(2)) = -6
$$
$$ s(r(2)) = -6 $$

The functions and are defined as

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