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

1 Answer
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>=0 because the square root is only defined for nonnegative real numbers.

If we solve the inequality we get:

1-x>=0

-x>=-1

x<=1

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