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) = (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 R :f (x) = x ^(2) g : R to R : g (x) = x + 5, then gof is:

Let R be the set of all real numbers let f: R to R : f(x) = sin x and g : R to R : g (x) =x^(2) . Prove 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 : R to R : f (x) =(2x +1) " and " g : R to R : g (x) =(x^(2) -2) Write down the formulae for (i) ( g o f) (ii) ( f o g) (iii) ( f o f) (iv) ( g o f)

Let f : R to R : f (x) = (x^(2) +3x +1) " and " g : R to R : g (x) = (2x-3). Write down the formulae for (i) g o f (ii) f o g (iii) g o g

Let f:R→R:f(x)=x^2 and g: R→R: g(x)=(x+1) . Show that (gof)≠(fog) .

Let f : R to R : f (x) =10x +7. Find the function g : R to R : g o f = f o g =I_(g)

If f: R to R and g: R to R are given by f(x)= cosx and g(x) =3x^(2) .Show that gof ne fog

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