Home
Grade 1Grade 2Grade 3Grade 4Grade 5Grade 6Grade 7Grade 8Grade 9Grade 10Grade 11Grade 12Math Themes
Explorers (Grades 1-3)Explorers Elite (1-3)Navigators (Grades 4-6)Navigators Elite (4-6)Challengers (Grades 7-9)Challengers Elite (7-9)Schedule an Evaluation
Mobius MethodFlexible ClassesCompanySupport
Pricing
Ctrl+k
Sign InJoin
Function Domain - Fraction Linear over Root of Linear to Domain Definition

Level 1

This math topic focuses on finding the domain of functions where the function is given as a fraction with a linear numerator and a linear-expression square root in the denominator. Students are required to determine the set of all possible x-values (domain) that will make the function defined, by ensuring the expression under the square root is non-negative. The questions are structured as multiple choice, where students select the correct domain from provided options.

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

more
View

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

Mobius Math Academy logo
Function Domain - Fraction Linear over Root of Linear to Domain Definition
1
What set describes the domain of this function?
A LaTex expression showing f(x) = 1x+4 over square root of -1x-5
a A LaTex expression showing \{X \in \mathbb{{R}} \vert X \le -5\}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert X < -5\}
2
What set describes the domain of this function?
A LaTex expression showing f(x) = 1x+1 over square root of -1x-5
a A LaTex expression showing \{X \in \mathbb{{R}} \vert X < -5\}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert -5 < X\}
3
What set describes the domain of this function?
A LaTex expression showing f(x) = -1x+1 over square root of -1x-2
a A LaTex expression showing \{X \in \mathbb{{R}} \vert X < -2\}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert -2 < X\}
4
A LaTex expression showing f(x) = 1x+3 over square root of -1x+3
What set describes the domain of this function?
a A LaTex expression showing \{X \in \mathbb{{R}} \vert 3 < X\}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert X < 3\}
5
A LaTex expression showing f(x) = -1x+4 over square root of 1x-3
What set describes the domain of this function?
a A LaTex expression showing \{X \in \mathbb{{R}} \vert 3 < X\}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert 3 \le X\}
6
What set describes the domain of this function?
A LaTex expression showing f(x) = 1x-2 over square root of -1x-1
a A LaTex expression showing \{X \in \mathbb{{R}} \vert X < -1\}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert -5 \le X\}
7
What set describes the domain of this function?
A LaTex expression showing f(x) = 1x-4 over square root of -1x+5
a A LaTex expression showing \{X \in \mathbb{{R}} \vert X < 5\}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert 3 < X \le 5\}
8
What set describes the domain of this function?
A LaTex expression showing f(x) = 1x-5 over square root of 1x+2
a A LaTex expression showing \{X \in \mathbb{{R}} \vert -2 \le X\}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert -2 < X\}