Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Help me answer: - Let R : x is not a positive integer. Define a function asthen f is: - Sets, Relations and Functions - JEE Main

 

Let A = {x\epsilon } R : x is not a positive integer. Define a function f:A\rightarrow R asf(x) = 2x/x-1,then f is:

  • Option 1)

     

    injective but not surjective

  • Option 2)

     

    neither injective nore surjective

  • Option 3)

     

    not injective

  • Option 4)

     

    surjective but not injective

Answers (1)

best_answer

 

One - One or Injective function -

A function in which every element of range of function corresponds to exactly one elements.

- wherein

A line parallel to x - axis cut the curve at most one point.

 

f(x) = \frac{2x}{x-1}

This can be written as

\\f(x) =2 \left (1 + \frac{1}{x-1} \right )\\ f'(x) = -\frac{2}{(x-1)^2}

\Rightarrowf is one-one i.e injective but not surjective.


Option 1)

 

injective but not surjective

Option 2)

 

neither injective nore surjective

Option 3)

 

not injective

Option 4)

 

surjective but not injective

Posted by

admin

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Advanced 2024: Chemical engineering cut-offs at IITs; know opening, closing ranks
anam-khan

IIT JEE Mains Result 2024 Session 2: How is overall merit list prepared?
anam-khan

JEE Mains Session 2 result 2024 soon; List of top NITs in India

Latest Question