JEE Mains · Maths · STD 12 - 1. relation and function
Let a function \(f:\left( {0,\infty } \right) \to \left( {0,\infty } \right)\) be defined by \(f\left( x \right) = \left| {1 - \frac{1}{x}} \right|\). Then \(f\) is
- A not injective but it is surjective
- B injective only
- C neither injective nor surjective
- D both injective as well as surjective
Answer & Solution
Correct Answer
(C) neither injective nor surjective
Step-by-step Solution
Detailed explanation
\(y = \left| {1 - \frac{1}{x}} \right|\) Neither one -one nor Onto
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