This math topic focuses on determining the domain of a function in which the numerator is a square root of a linear expression, and the denominator is a linear expression. Students are required to identify valid input values that ensure the function is defined, typically involving conditions where the expression under the square root must be non-negative, and the denominator is non-zero. Each question presents different linear functions where students choose from multiple possible domains.

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

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What set describes the domain of this function?

f(x)=1x21x4f(x) = \frac{\sqrt{1x-2}}{1x-4}

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