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

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) .

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

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 .

If f:RrarrR defined by f(x)=(3x+5)/2 is an invertible function, then find f^(-1)

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 .

Find the domain and range of the mapping f:R rarr R,defined by f(x)=x^2

Let f,g: R rarr R be defined respectively by f(x)=x+1,g(x)=2x-3 .Find f+g,f-g and f/g .