TS EAMCET · Maths · Functions
The function \(f: \mathbf{R} \rightarrow \mathbf{R}\) defined by \(f(x)=\frac{x}{\sqrt{1+x^2}}\) is
- A surjective but not injective
- B bijective
- C injective but not surjective
- D neither injective nor surjective
Answer & Solution
Correct Answer
(C) injective but not surjective
Step-by-step Solution
Detailed explanation
\(f(x)=\frac{x}{\sqrt{1+x^2}}\) Injective Let \(x_1, x_2 \in R\) such that…
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