# Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises: 12

$\left\{x|x\gt 1\right\}$

#### Work Step by Step

The square root is defined only when the radicand (number/expression inside the radical sign) is non-negative. However, since the square root is in the denominator, its value is not allowed to be zero as it will make the whole expression undefined. Thus, to find the values of $x$ for which the given expression is defined, solve the inequality $x-1 \gt 0$ to obtain: $x-1 \gt 0 \\x-1+1 \gt 0+1 \\x \gt 1$ Thus, the domain of the given expression is the set of all real numbers greater than $1$.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.