F and G are 2 real functions f(x)={-x, x=0}} and g(x)={-1,x0;}. find (f+g)(x), (fg)(x) and the range of (fg)(x).
(i) Find range of the function f(x)=15−cos 3x
(ii) If f(x)=√x2+1 and g(x)=2x2+3, find
(a) (f+g)(x) (b) f[g(x)]
(c) (f−g)x (d) (fg)(x)