Question

Determine the domain of the function f(x) = Square root 2-X

Answer 1

For this case we must find the domain of the following function:

$f (x) = \sqrt {2-x}$

By definition, the domain of a function is given by all the values of "x" for which the function is defined.

The given function is not defined when the root argument is negative, so the function is defined when:

$2-x> 0\\-x> -2\\x$

The domain of the function is given by:

D: (-∞, 2]

Answer:

D: (-∞, 2]