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Friday, 03 July 2026
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Find the domain of \(f(x) = \frac{x}{3 - x}, x \in R\), the set of real numbers.

Find the domain of \(f(x) = \frac{x}{3 - x}, x \in R\), the set of real numbers.
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  • A \({x : x \in R, x \neq 3}\)
  • B \({x : x \in R, x \neq 1}\)
  • C \({x : x \in R, x \neq 0}\)
  • D \({x : x \in R, x\neq -3}\)
Correct Answer: Option A
Explanation:
\(f(x) = \frac{x}{3 - x} \)
f(x) has a defined value except at x = 3 where the function is undefined.

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