# How do you find the domain of  sqrt{1 - x}?

Feb 17, 2017

See explanation.

#### Explanation:

To find a domain of a function you have to think of such subset of all real numbers for which the function is defined.

Here we can write that the function is only defined for those $x$, for which $1 - x \ge 0$ because the square root is only defined for nonnegative real numbers.

If we solve the inequality we get:

$1 - x \ge 0$

$- x \ge - 1$

$x \le 1$

So the domain is D=(-oo;1>