Question

Find the domain of the function.

Answer 1

Domain is the set of numbers for x we can plug in for this function .

Here x is inside redical sign but there it is " -x "

we know that sqrt of a negative number is an imaginary value

so we need to avoid such values of x which gives a negative value inside redeical .

the term inside redical should be equal or greater than 0 only

so -x >= 0

that means x <= 0

so domain is : all negative real numbers + 0

Answer : (- inifnity , 0]