Answer
Hence, the answer is $-4$.
Work Step by Step
From the table values are
$f(-2)=5,g(-2)=0,f(1)=−6,g(1)=-3$
$(fg)(-2)=f(-2)\times g(-2)=5×0=0$
$(\frac{f}{g})(1)=\frac{f(1)}{g(1)}=\frac{-6}{-3}=2$
$=(fg)(-2)−\left [ \left ( \frac{f}{g} \right )(1) \right ]^2$
Substitute all values.
$=0−\left [ 2 \right ]^2$
$ = -4 $.