# Math Help - Implied domain

1. ## Implied domain

Find the implied domain of f(x)= (square root x-5) + (square root 15 -x)
or (x-5) ^(1/2) + (15 -x)^(1/2)

Sorry I don't know how to use the square root sign here.

2. Hi

$f(x) = \sqrt{x-5} + \sqrt{15-x}$

You can take the square root of only positive expressions

You must have both $x-5 \geq 0$ and $15-x \geq 0$