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

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 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)) .

A function f : R rarr R is defined as f(x)=10x+7 for all x in R . Find the function g : R rarr R such that gof=fog=I_R .

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

Let f : R rarr R, f(x)=x^2 and g : R rarr R,g(x)=sinx be two given functions. Is gof=fog ?

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