This math topic focuses on determining the domain of functions in which the variable is in the denominator under a square root in expressions like \(f(x) = \frac{a}{\sqrt{bx+c}}\). The skill practiced involves analyzing these functions to identify the range of x-values that will make the function’s denominator (and thus the function as a whole) valid, i.e., ensuring the expression under the square root is non-negative. This is essential for handling functions with potential restrictions on the domain due to square roots and divisions by zero. The problems typically present a math expression alongside multiple possible number line representations of its domain for selection.

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Function Domain - Fraction Integer over Root of Linear to Number Line Worksheet

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Function Domain - Fraction Integer over Root of Linear to Number Line
1
What number line shows the domain of this function?
A LaTex expression showing f(x) = 4 over square root of 1x-0
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) = -5 over square root of 1x+1
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) = 2 over square root of 1x+4
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) = -5 over square root of 1x-0
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) = -4 over square root of 1x+3
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) = 3 over square root of -1x-0
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) = -5 over square root of 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
8
What number line shows the domain of this function?
A LaTex expression showing f(x) = 5 over square root of -1x+5
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem