a.(g+f)(6)=g(6)+f(6)
g(6)+f(6)=[6^2+6(6)-3]+[6+1/2(6)]
g(6)+f(6)=78 (g+f)(6)=78
b.(g/f)(-4)=g(-4)/f(-4)
g(-4)/f(-4)=[(-4)^2+6(-4)-3]/[6+1/2(-4)]=-11/4 (g/f)(-4)=-11/4
c.(f*g)(2)=f(2)*g(2)
f(2)*g(2)=[2^2+6(2)-3]*[6+1/2(2)]=91 (f*g)(2)=91
d.(f*f)(x)=f(x)*f(x)
f(x)*f(x)=(6+1/2 x)*(6+1/2 x)=(6+1/2 x)^2=36+6x+1/4 x^2
(f*f)(x)=36+6x+1/4 x^2
e.(f-g)(-x)=f(-x)-g(-x)=[6+1/2(-x)]-[(-x)^2+6(-x)-3]=6-1/2 x-x^2+6x+3=-x^2+(11/2)x+9
(f-g)(-x)=-x^2+(11/2)x+9
f.(gg)(-3)=g(-3)*g(-3)
g(-3)*g(-3)=[(-3)^2+6(-3)-3]*[(-3)^2+6(-3)-3]=(-12)*(-12)=144
(gg)(-3)=144