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

1 Answer
Feb 17, 2017

Answer:

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>#