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Explain solution RD Sharma class 12 chapter Functions exercise 2.1 question 5 sub question (viii) maths
Answers (1)
Neither injective nor surjective.
Given:
defined by
.
Hint:
One-one function means every element in the domain has a distinct image in the co-domain.
Onto function means every element in the co-domain has at least one pre image in the domain of function.
Solution:
Injection test
Let x and y be any two elements in the domain (R) such that
Here x may not be equal to y because
So, f is not an injection.
Surjection test:
Range of
Co-domain of
Both are not the same.
So f is not a surjection and f is not a bijection.
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