This math topic focuses on determining the function domain involving fractions with square roots, where the numerator is a linear equation and the denominator contains quadratic expressions with complex roots. The problems require mapping these domains accurately onto a number line. Each question presents a different function expression and asks to identify the correct domain representation among multiple choices. This practice is part of a broader unit dealing with functions' domain and range solving skills, enhancing understanding of how function inputs are constrained by mathematical expressions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more
View

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

Mobius Math Academy logo
Function Domain - Fraction Root of Linear over Root of Quadratic (Complex Roots) to Number Line
1
What number line shows the domain of this function?
A LaTex expression showing f(x) = \frac{square root of 1x-3}{square root of -5x to the power of 2 +9x-21}
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) = \frac{square root of -1x+2}{square root of 1x to the power of 2 +1x+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
3
What number line shows the domain of this function?
A LaTex expression showing f(x) = \frac{square root of 1x-4}{square root of -5x to the power of 2 -2x-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
4
What number line shows the domain of this function?
A LaTex expression showing f(x) = \frac{square root of 1x-3}{square root of 3x to the power of 2 -8x+19}
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) = \frac{square root of -1x+3}{square root of 5x to the power of 2 +8x+13}
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) = \frac{square root of -1x-0}{square root of 1x to the power of 2 +6x+25}
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) = \frac{square root of 1x+5}{square root of 4x to the power of 2 +3x+11}
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) = \frac{square root of 1x+3}{square root of -4x to the power of 2 +6x-17}
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem