MCQMediumJEE Main 2025 · 23 January, Shift 1Composition & Inverse Functions

Mathematics Question from JEE Main 2025 · 23 January, Shift 1

Let f(x)=log⁡xf(x) = \log x and g(x)=x4−2x3+3x2−2x+22x2−2x+1g(x) = \frac{x^4 - 2x^3 + 3x^2 - 2x + 2}{2x^2 - 2x + 1}.

Then the domain of f∘gf \circ g is:

  • A

    R\mathbb{R}

  • B

    (0,∞)(0, \infty)

  • C

    [0,∞)[0, \infty)](streamdown:incomplete-link)

  • D

    [1,∞)[1, \infty)](streamdown:incomplete-link)

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