हिंदी

If \(I_A\) is the identity function on set \(A\), which relation is correct?

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प्रश्न

If f: A→B and IA is the identity function on A, which relation is correct?

विकल्प

  • \(f\circ I_A=f^{-1}\)

  • \(f\circ I_A=0\)

  • \(f\circ I_A=f\)

  • \(f\circ I_A=I_A\)

MCQ
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उत्तर

An identity function leaves its input unchanged. Thus, applying \(I_A\) before \(f\) does not alter the result, giving \(f\circ I_A=f\).

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