Home
Class 12
MATHS
Prove that the functionf:NrarrN f(x)=3x,...

Prove that the function`f:NrarrN` f(x)=3x,is one -one and into.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|10 Videos

  • QUESTION PAPER 2020

    BODY BOOKS PUBLICATION|Exercise EXERCISE|57 Videos

  • THREE DIMENSIONAL GEOMETRY

    BODY BOOKS PUBLICATION|Exercise EXERCISE|5 Videos

Similar Questions

Explore conceptually related problems

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

Prove that the function f(x)=2x-5 is continuous at x=-2

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

Prove that the function f: N rarr N , defined by f(x)=x^2+x+1 is one-one but not onto.

Prove that the function f(x)=5x-3 is continuous at x=0, at x=-3 and at x=5?

Prove that the function f is given by f(x)=|x-1| , x in R is not differentiable at x=1

Prove that the function f: Q rarr Q given by f(x)=2 x-3 for all x in Q (the set of all rational numbers) is a bijection.

Prove that the function defined by f(x)= cosx^2 is a continuous function

Show that the function f:RrarrR given by f(x)=x+x^3 is a bijective function.

Prove that the function f given by f(x)=x^2-x+1 is neither strictly increasing nor strictly decreasing on ? (-1,1)