If `f : R rarr R` is defined by `f(x)=x^2+2 and g : R-{1} rarr R` is defined by `g(x)=x/(x-1)`, find `(fog)(x) and (gof)(x)`.

Similar Questions

Explore conceptually related problems

Let f:R rarr R is defined by f(x)=3x-2 and g:R rarr R is defined by g(x)=(x+2)/3 . Show that f.g=g.f .

If f : R rarr R be defined by f(x)=2x-3 and g : R rarr R be defined by g(x)= (x+3)/2 , show that fog=gof=I_R

If f :IR rarrIR is defined by f(x)=x^2-3x+2 , find f(f(x))?

If f : R rarr R be defined by f(x)=|x| , show that fof=f

If f:RtoR is defined by f(x)=x^(2)-3x+2 , find f(f(x)) .

Let g:RrarrR and f:RrarrR is defined as f(x)=2x and g(x)=x^2 . Find f0g and g0f .

Let f : R rarr R be defined as f(x)=x^3+2 . Show that f^-1 : R rarr R exists and hence find the formula for f^-1 .

If f,g: RrarrR are defined respectively-by f(x)=x+1, g(x)=2x^2+3 ,find (f+g)(x)

If f,g: RrarrR are defined respectively-by f(x)=x+1, g(x)=2x^2+3 ,find (f/g)(x)

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