Let `f:RtoR:f(x)=x+2andg:R-|2|toR:g(x)=(x^(2)-4)/(x-2)`
Show that `fne""g`. Re-define f and g such that f=g.

Let f:ZtoZ:f(x)=x^(2)andg:ZtoZ:g(x)=|x|^(2)" for all "x""inZ . Show that f=g.

Let f:R→R: f(x)=x+1 and g:R→R: g(x)=2x−3 . Find (f−g)(x) .

Let f : R to R : f (x) =x^(2) " and " g: R to R : g (x) = (x+1) Show that (g o f) ne (f o g)

Let f : R to R : f (x) = x^(2) + 2 "and " g : R to R : g (x) = (x)/(x-1) , x ne 1 . Find f o g and g o f and hence find (f o g) (2) and ( g o f) (-3)

Let f:toRtoR:f(x)=x^(2)andg:CtoC:g(x)=x^(2) , where C is the set of all complex numbers. Show that fne""g .

Let f : R to R : f (x) = (2x -3) " and " g : R to R : g (x) =(1)/(2) (x+3) show that (f o g) = I_(R) = (g o f)

Let f:R to be defined by f(x)=3x^(2)-5 and g : R to R by g(x)=(x)/(x^(2))+1 then gof is

Let f: R->R and g: R->R be defined by f(x)=x^2 and g(x)=x+1 . Show that fog!=gofdot

Let f: R->R and g: R->R be defined by f(x)=x^2 and g(x)=x+1 . Show that fog!=gofdot