Find the domain of \(f(x) = \frac{x}{3 - x}, x \in R\), the set of...
FURTHER MATHEMATICS
WAEC 2010
Find the domain of \(f(x) = \frac{x}{3 - x}, x \in R\), the set of real numbers.
- 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: A. \({x : x \in R, x \neq 3}\)
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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