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.

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

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What set describes the domain of this function?

f(x)=41x3f(x) = \frac{4}{\sqrt{-1x-3}}

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