Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_functions
Class 12 Maths · Relations And Functions · Mcq Single Correct #102
Let \(f:\mathbb R\to\mathbb R\), \(f(x)=\frac{e^{x^2}-e^{-x^2}}{e^{x^2}+e^{-x^2}}\). Then
✅ Step-by-Step Solution
Final Answer: Option (B): f is neither one-one nor onto
- The expression equals \(\tanh(x^2)\), so \(f(x)=f(-x)\). Its range is \([0,1)\), since \(x^2\ge0\). Thus it is neither one-one nor onto \(\mathbb R\).
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