Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
The function $f(x)=\frac{x}{x^{2}+1}$ from $R$ to $R$ is
MathematicsFunctionsNDANDA 2010 (Phase 1)
Options:
  • A one $-$ one as well as onto
  • B onto but not one-one
  • C neither one-one nor onto
  • D one-one but not onto
Solution:
2035 Upvotes Verified Answer
The correct answer is: one-one but not onto
Given $f: R \rightarrow R$ defined as $f(x)=\frac{x}{x^{2}+1}$
Which is a injective function
-ie- $f(x)=\frac{x}{x^{2}+1}$ is one-one but not onto.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.