If `f(x)=1/x` and `g(x)=0` show that fog is not defined.

If f(x) = e^x and g(x) = logx , Show that fog = gof , given x>0 .

If f(x)=(2x+1)/(3x-2)=y ,show that x=f(y).

Let f:R toR and g:R to R be two functions given by f(x)=cosx and g(x)=3x^(2) . Show that gof!=fog .

If f(x)=x+7 and g(x)=x-7 , then find (fog) (7).

Find gof and fog, if f:R to R and g: R to R are given by f(x)=|x| and g(x)=|2x-5| . Also, show that gof != fog.

If f(x)=(x) and g(x)=(5x-2) Find f0g and g0f

Let f : R rarr R be defined as f(x)=2x+3 . Show that f is invertible and find f^-1 : R rarr R .

If f(x)=x^2 and g(x)=sin3x then find f0g and g0f Is f0g = g0f ?

If f(x)=x^3 and g(x)=x^2 then find f0g and g0f Is f0g = g0f ?