Show that `f:[-1,1]toR` given by `f(x)=frac(x)(x+2)` is one-one.

Show that the function f:RtoR defined by f(x)=2x-3 is one-one and onto. Find f^-1

Let A=R-{3} and B=R-{1} consider the function f:AtoB defined by f(x)=frac(x-2)(x-3) . Is f one-one and onto? Justify your answer.

Consider f:RtoR given by f(x)=5x+2 Show that f is one-one.

Let A=R-{3} and B=R-{1} Consider the function f:ArarrB defined by f(x)=frac(x-2)(x-3) Is f one-one and onto? Justify your answer.

Prove that the function f: R rarr R given by f(x)=2 x is one-one and onto.

Let f:RtoR be given by f(x)=frac(2x+1)(3) find fof and show that f is invertible.

Show that f : N rarr N given by f(x) = { ((x +1), if x is odd), ((x - 1), if x is even) :} is both one-one and onto.

The domain of the function f given by f(x)=sqrt(x-1) is

Show that f: R rarr R defined by f(x) = (x-1) (x-2) (x-3) is surjective but not injective

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