Answer
(a) $9$
(b) $0$
(c) $-8$
(d) $-8$
Work Step by Step
(a) Use the given data, we have $f(2)=5, g(2)=4$, thus $(f+g)(2)=5+4=9$
(b) Use the given data, we have $f(4)=0, g(4)=0$, thus$(f-g)(4)=-0-0=0$
(c) Use the given data, we have $f(-2)=-4, g(-2)=2$, thus$(fg)(-2)=-4(2)=-8$
(d) Use the given data, we have $f(0)=8, g(0)=-1$, thus$(\frac{f}{g})(0)=\frac{8}{-1}=-8$
