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Jee Main 2025Medium JEE math MCQ

Let \( f(x) = \log_2 x \) and \( g(x) = \frac{x^4 - 2x^3 + 3x^2 - 2x + 2}{2x^2 - 2x + 1} \). Then the domain of \( f \circ g \) is \begin{align*}
  1. A. \ [0, \infty) & & \quad
  2. B. \ [1, \infty) \\
  3. C. \ (0, \infty) & & \quad
  4. D. \ \mathbb{R} \end{align*}

Solution

The correct option is **D**. (D. \ \mathbb{R} \end{align*})

MATH

mediumPYQ Reworded
Question
Read carefully, then pick the best option.
Let f(x)=log2x f(x) = \log_2 x and g(x)=x42x3+3x22x+22x22x+1 g(x) = \frac{x^4 - 2x^3 + 3x^2 - 2x + 2}{2x^2 - 2x + 1} . Then the domain of fg f \circ g is \begin{align*}
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep