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Saturday, 31 October

JEE Main 2024 · MathsMultiple choiceSingle correctMediumConceptual

JEE Main 5 April 2024, Shift 2, Maths Q2

Question 2 of 90 in this shift, Maths question 2 of 30, Section A.

Let f,g:R→Rf, g : \mathbf{R} \to \mathbf{R} be defined as : f(x)=∣x−1∣f(x) = |x-1| and g(x)={ex,x≥0x+1,x≤0.g(x) = \begin{cases} e^x, & x \geq 0 \\ x+1, & x \leq 0. \end{cases} Then the function f(g(x))f(g(x)) is
  1. (1)both one-one and onto.
  2. (2)one-one but not onto.
  3. (3)onto but not one-one.
  4. (4)neither one-one nor onto.Official 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.