Show that the function `f : R_0 rarr R_0` defined by `f(x)=1/x`, where `R_0` is the set of nonzero real numbers is bijective.

Show that the function f : R rarr R defined by f(x)=x^2+4 is not invertible.

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

Show that the function f : R rarr R , defined by {(-1,x 0):} is neither one-one nor onto.

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.

Show that the function f: R to R defined by f(x)=2x^(2) , is neither one - one onto.

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

Prove that the function f : R rarr R, f(x)=5x^3-8 is bijective.

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 : N' rarr Z, f(x)=100-x^2 is not bijective.