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

Correct Answer is : The function has an inverse but f is not its own inverse

The function does not have inverse

The function has an inverse but f is not its own inverse

UPSC NDA 2 2012 Mathematics Paper

Question : 73 of 120

Marks: +1, -0

Let A={x∈R|x≥0|}. A function f:A→A is defined by f(x)=x2. Which one of the following is correct?

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