JEE Advanced 2025 Paper 2 Mathematics Q1

Mathematics

Problem

Let x₀ be the real number such that eˣ⁰ + x₀ = 0. For a given real number α, define g(x) = (3xeˣ + 3x − αeˣ − αx)/(3(eˣ + 1)) for all real numbers x. Then which one of the following statements is TRUE?

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