Question

f(x)=square root of (5-x)/(x-8)
-What is the domain?

Answer 1

Domain of numerator (5-x): &8477;
Domain of denominator (x-8) : &8477;

However, when x=8, the denominator becomes zero and the function is undefined, therefore the domain of the function is dom f(x): &8477;\8, or
dom f(x): (-∞,8)∪(8,∞)

Answer 2

Domain of numerator (5-x): ℝ
Domain of denominator (x-8) : ℝ

However, when x=8, the denominator becomes zero and the function is undefined, therefore the domain of the function is dom f(x): ℝ\8, or
dom f(x): (-∞,8)∪(8,∞)