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

• A

  The function does not have inverse
• B

  $f$ is its own inverse
• Correct answer
  C

  The function has an inverse but $f$ is not its own inverse
• D

  None of the above

Hence, the correct answer is option: 'C'.