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MCQMediumJEE Main 2025 · 24 January, Shift 2Functions

Mathematics Question from JEE Main 2025 · 24 January, Shift 2

The function f:(−∞,∞)→(−∞,1)f: (-\infty, \infty) \to (-\infty, 1), defined by

f(x)=2x−2−x2x+2−xf(x) = \frac{2^x - 2^{-x}}{2^x + 2^{-x}}

is:

  • A

    Onto but not one-one

  • B

    Both one-one and onto

  • C

    Neither one-one nor onto

  • D

    One-one but not onto

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