Question

Determine the domain of the function.

f(x)= square root of 2-x

a:x ≤ 2
b: All real numbers
c:x > 2
d: All real numbers except 2

Answer 1

[-∞, 2) so that 2 - x is either zero or positive

Explanation:

First look at the function y = √x. Its domain is [0, ∞ ).

The domain of √(2 - x) is the set of all real numbers for which 2 - x is 0 or +, and that domain is [-∞, 2).