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Saturday, 31 October

JEE Main 2024 · MathsMultiple choiceSingle correctMediumConceptual

JEE Main 1 February 2024, Shift 1, Maths Q14

Question 14 of 90 in this shift, Maths question 14 of 30, Section A.

Let f:R→Rf:\mathbb{R}\to\mathbb{R} and g:R→Rg:\mathbb{R}\to\mathbb{R} be defined as f(x)={log⁡ex,x>0e−x,x≤0f(x)=\begin{cases}\log_e x, & x>0\\ e^{-x}, & x\leq 0\end{cases} and g(x)={x,x≥0ex,x<0g(x)=\begin{cases}x, & x\geq 0\\ e^{x}, & x<0\end{cases}. Then, gof:R→Rgof:\mathbb{R}\to\mathbb{R} is :
  1. (1)one-one but not onto
  2. (2)onto but not one-one
  3. (3)both one-one and onto
  4. (4)neither one-one nor ontoOfficial answer

Official answer

Option 4

NTA final key.

Chapter
Relations and Functions
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.