The functions $$ s $$ and $$ t $$ are defined as follows. $$ \begin{aligned} s(x)=-x+2 \ t(x)=x^{2}-1\end{aligned} $$ Find the value of $$ s(t(-5)) $$.

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UpStudy AI · Accepted Answer

To find $$ s(t(-5)) $$, we'll evaluate the functions step by step.

1. **Evaluate $$ t(-5) $$:**
   $$
   t(x) = x^2 - 1
   $$
   Substitute $$ x = -5 $$:
   $$
   t(-5) = (-5)^2 - 1 = 25 - 1 = 24
   $$

2. **Now evaluate $$ s(t(-5)) = s(24) $$:**
   $$
   s(x) = -x + 2
   $$
   Substitute $$ x = 24 $$:
   $$
   s(24) = -24 + 2 = -22
   $$

So, the value of $$ s(t(-5)) $$ is **$$-22$$**.

**Answer:** $$-22$$
$$ s(t(-5)) = -22 $$

The functions and are defined as follows.

Find the value of .

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