Question

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

Answer 1

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>`