This math topic focuses on determining the domain of functions that are structured as a fraction with an integer numerator and a square root containing a linear expression in the denominator. It involves analyzing the conditions under which the function is defined, particularly ensuring the expression under the square root is non-negative to prevent undefined operations. The problems are structured to test understanding and ability to set and solve inequalities that define the domain of these functions.

more

Function Domain - Fraction Integer over Root of Linear to Domain Definition


What set describes the domain of this function?

f(x)=31x0f(x) = \frac{3}{\sqrt{1x-0}}

?