Suppose that the functions $$ p $$ and $$ q $$ are defined as follows. $$ \begin{array}{r}p(x)=-5 x+5 \ q(x)=-2 x-2\end{array} $$ Find the following. $$ \begin{array}{r}(p \circ q)(-4)=\square\end{array} $$

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UpStudy AI · Accepted Answer

1. Compute $$q(-4)$$:
   $$
   q(-4) = -2(-4) - 2 = 8 - 2 = 6.
   $$
   
2. Now substitute into $$p(x)$$ to find $$p(6)$$:
   $$
   p(6) = -5(6) + 5 = -30 + 5 = -25.
   $$
   
Thus,
$$
(p \circ q)(-4) = -25.
$$
$$ (p \circ q)(-4) = -25 $$

Suppose that the functions and are defined as follows.

Find the following.

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Suppose that the functions and are defined as follows. Find the following.