You can put this solution on YOUR website! let f(x)=9-x^2, g(x)=3-x. Find (f-g) (x).
f(x) = 9-x^2 ----(1)
g(x) = 3-x. ----(2)
(1) and (2) being polynomials in x are defined for all x
Now (f-g)(x)= f(x)-g(x)
= (9-x^2)- (3-x)
=9-x^2-3+x
=-x^2+x+6 (by additive commutativity and associativity)
which is again a polynomial in x defined for all x
(