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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Functions

NDA 2012 · Mathematics · Functions

Let A=\ x ∈ R|x ≥ 0|\ . A function f: A arrow A is defined by...

Let A={x∈R∣x≥0∣}\mathrm{A}=\{x \in \mathrm{R}|x \geq 0|\}. A function f:A→Af: \mathrm{A} \rightarrow \mathrm{A} is defined by f(x)=x2f(x)=x^2. Which one of the following is correct?

Options

  1. AThe function does not have inverse
  2. Bff is its own inverse
  3. CThe function has an inverse but ff is not its own inverse
  4. DNone of the above

Correct answer

C. The function has an inverse but ff is not its own inverse

Step-by-step solution

The correct answer is option C.
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