Question

suppose that the functions $q$ and $r$ are defined as follows.
$q(x)=4x-4$
$r(x)=-x+2$
find the following.
$(q \cdot r)(-1) = \square$
$(r \cdot q)(-1) = \square$

Explanation:

Step1: Find $q(-1)$

$q(-1)=4(-1)-4=-4-4=-8$

Step2: Find $r(-1)$

$r(-1)=-(-1)+2=1+2=3$

Step3: Calculate $(q \cdot r)(-1)$

$(q \cdot r)(-1)=q(-1) \cdot r(-1)=(-8) \cdot 3=-24$

Step4: Calculate $(r \cdot q)(-1)$

$(r \cdot q)(-1)=r(-1) \cdot q(-1)=3 \cdot (-8)=-24$

Answer:

$(q \cdot r)(-1) = -24$
$(r \cdot q)(-1) = -24$