NCERT Class 12 · Ch 1 Exercise 1.2 · Q12
NCERT Class 12 Maths · Chapter 1 Relations And Functions · Exercise 1.2 Question 12
For f:ℝ→ℝ, f(x)=3x, choose the correct classification.
💡 Concept Hints
- The printed formula is 3 times x, a nonzero-slope linear map.
- Separate the one-one and onto claims. For onto, ensure each inverse candidate lies in the allowed domain.
✅ Step-by-Step Solution
Final Answer: A.
- If 3a=3b, division by 3 gives a=b; therefore injective.
- For any y∈ℝ, x=y/3 is real and f(x)=y; therefore onto.
- The function is bijective, so select A.
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