This math topic revolves around finding the domain of functions where the function's structure involves a linear fraction over the square root of a quadratic expression. Each problem presents a different function and asks to identify its domain represented on a number line. The primary skill focused here is handling expressions within square roots to determine the set of real numbers (x-values) that make the function’s denominator non-zero and the radicand non-negative. These problems help to reinforce understanding of function domains, particularly when working with square roots and quadratic expressions.

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Function Domain - Fraction Linear over Root of Quadratic (Real Roots) to Number Line Worksheet

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Function Domain - Fraction Linear over Root of Quadratic (Real Roots) to Number Line
1
What number line shows the domain of this function?
A LaTex expression showing f(x) = -1x+3 over square root of -1x to the power of 2 -10x-16
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
2
What number line shows the domain of this function?
A LaTex expression showing f(x) = 1x-3 over square root of -1x to the power of 2 -9x-8
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
3
What number line shows the domain of this function?
A LaTex expression showing f(x) = -1x+4 over square root of -1x to the power of 2 -10x-24
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
4
What number line shows the domain of this function?
A LaTex expression showing f(x) = 1x+3 over square root of -4x to the power of 2 -8x+12
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
5
What number line shows the domain of this function?
A LaTex expression showing f(x) = -1x-5 over square root of 1x to the power of 2 +3x-18
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
6
What number line shows the domain of this function?
A LaTex expression showing f(x) = -1x+4 over square root of 1x to the power of 2 +1x-2
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
7
What number line shows the domain of this function?
A LaTex expression showing f(x) = -1x-4 over square root of -1x to the power of 2 -5x-6
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
8
What number line shows the domain of this function?
A LaTex expression showing f(x) = -1x-5 over square root of -1x to the power of 2 -3x+10
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem