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Find the domain of (f(x) = frac{x}{3 – x}, x in R), the set of…

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, xneq -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.