If the function `f: RvecR` be given by `f(x)=x^2+2a n dg: RvecR` be given by `g(x)=x/(x-1)` . Find `foga n dgofdot`

The function f: N rarr N , given by f(x) = 2x is

Let R be the set of real numbes. If f: RvecR ;f(x)=x^2 and g: RvecR ;g(x)=2x+1 . Then, find foga n dgof . Also, show that fog!=gofdot

Let R be the set of real numbes. If f: R vec R ;f(x)=x^2 and g: RvecR ;g(x)=2x+1 . Then, find foga n dgof . Also, show that fog!=gofdot

Let f: Rveca n dg: RvecR be defined by f(x)=x+1a n dg(x)=x-1. Show that fog=gof=I_Rdot

Show that the function f: RvecR defined by f(x)=3x^3+5 for all x in R is a bijection.

Show that the function f: RvecR given by f(x)=cosxfora l lx in R , is neither one-one nor onto

If f:[0,oo)vecRa n dg: RvecR be defined as f(x)=sqrt(x) and g(x)=-x^2-1, then find gofa n dfogdot

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

If f(x)=e^x and g(x)=(log)_e x(x >0), find foga n dgofdot Is fog=gof?

If f: RvecR is given by f(x)=(x^2-4)/(x^2+1) , identify the type of function.