CUET · MATHS · PYQ PAPER 2025
The function \(f:[-1,1] \rightarrow R\) is given by \(f(x)=\frac{x}{x+2}\)
- A onto only
- B both one-one and onto
- C one-one only
- D neither one-one nor onto
Answer & Solution
Correct Answer
(C) one-one only
Step-by-step Solution
Detailed explanation
\(f(x_1) = f(x_2) \Rightarrow \frac{x_1}{x_1+2} = \frac{x_2}{x_2+2} \Rightarrow x_1(x_2+2) = x_2(x_1+2) \Rightarrow x_1x_2+2x_1 = x_1x_2+2x_2 \Rightarrow 2x_1 = 2x_2 \Rightarrow x_1 = x_2\). (One-one)…
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