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. $$ \begin{array}{l}(p \circ q)(-4)=\square \ (q \circ p)(-4)=\square\end{array} $$

Question

UpStudy AI · Accepted Answer

1. To compute $$(p \circ q)(-4)$$, we first evaluate $$q(-4)$$:
   $$
   q(-4) = -2(-4) - 2 = 8 - 2 = 6.
   $$
   Next, we substitute this value into $$p(x)$$:
   $$
   p(6) = -5(6) + 5 = -30 + 5 = -25.
   $$
   So, $$(p \circ q)(-4) = -25$$.

2. To compute $$(q \circ p)(-4)$$, we first evaluate $$p(-4)$$:
   $$
   p(-4) = -5(-4) + 5 = 20 + 5 = 25.
   $$
   Next, we substitute this value into $$q(x)$$:
   $$
   q(25) = -2(25) - 2 = -50 - 2 = -52.
   $$
   So, $$(q \circ p)(-4) = -52$$.
$$(p \circ q)(-4) = -25$$ $$(q \circ p)(-4) = -52$$

Suppose that the functions and are defined as follows.

Find the following.

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Algebra Questions

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