If `f(x)=2x-1, g(x)=(x+1)/(2)`, show that `fog=gof=x`.

If f(x)=3+x and g(x)=x-4 , show that fog(x)=gof(x)

If f(x)=1+x,g(x)=2x-2 , show that fog=gof

Let f(x)=x^2+x+1 and g(x)=sinx . Show that fog!=gof .

Let f(x)=x^2+x+1 and g(x)=sinx . Show that fog!=gof .

Let f: RrarrR and g: RrarrR be defined by f(x)=x+1 and g(x)=x-1. Show that fog=gof=I_Rdot

If f(x)=e^(x) and g(x)=log_(e)x, then show that "fog=gof" and find f^(-1) and g^(-1) .

If f(x)=2x+1 and g(x)=x/2 , then find (fog(x))-(gof(x))

IF f(x)=2x-1,g(x)=(x+1)/2 for all x in R , find (gof) (x) and (fog) (x)

Find gof and fog, if f: R rarr R and g: R rarr R are given by f(x) = cos x and g(x) = 3x^(2) , then show that gof ne fog.