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

Let A={1,2,3,4}, B={2,4,6,8} . If f : A rarr B is defined by f(x)=2x , show that (f^-1)^-1=f

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

Show that the function f : R rarr R , defined by f(x)=|x| is neither one-one nor onto.

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 .

Let f: R to R be a function defined by f(x)=5x+7 Show that f is invertible. Find the inverse of f.

Find the value of k for which the function f : R rarr R defined by f(x)=5+kx,kne0 is the inverse of itself.

Show that the function f : R rarr R defined by f(x)=[x] , where [x] is the greatest integer less than equal to x is neither one-one nor onto.

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