JEE 2021 | Prove a function Injective One-One | Class 12 Maths सम्बन्ध एवं फलन | Doubtnut |Arun Sir

Class 12 Maths | Chapter 1 | संबंध एवं फलन | Important Questions | Quick Revision

Prove that the function f : N to N : f (x) =3x is one-one and into.

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

Injective function(one-one function) and Many- one function

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

Prove that the function f:RrarrR given by: f(x) = 5x is one-one and onto.

If Q is the set of rational numbers, then prove that a function f: Q to Q defined as f(x)=5x-3, x in Q is one -one and onto function.

1 PM JEE Mains 2020- Maths | Trignometric Functions and Equations By Shahid Sir | JEE Score Booster

Which one of the following functions f:RtoR is injective?