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Question:
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Consider the following statements:
1- If $f(x)=x^{3}$ and $g(y)=y^{3}$ then $f=g$.
2- Identity function is not always a bijection. Which of the above statements is/are correct?
Options:
1- If $f(x)=x^{3}$ and $g(y)=y^{3}$ then $f=g$.
2- Identity function is not always a bijection. Which of the above statements is/are correct?
Solution:
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Verified Answer
The correct answer is:
1 only
(1) $\mathrm{f}(\mathrm{x})=\mathrm{x}^{3}$ and $\mathrm{g}(\mathrm{y})=\mathrm{y}^{3}$.
$\Rightarrow \mathrm{f}=\mathrm{g}$ is a correct statement.
(2) Identify function is always a bijection.
$\Rightarrow \mathrm{f}=\mathrm{g}$ is a correct statement.
(2) Identify function is always a bijection.
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