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 Integer over Root of Linear to Domain Definition

Level 1

This math topic focuses on determining the domain of functions that are structured as a fraction with an integer numerator and a square root containing a linear expression in the denominator. It involves analyzing the conditions under which the function is defined, particularly ensuring the expression under the square root is non-negative to prevent undefined operations. The problems are structured to test understanding and ability to set and solve inequalities that define the domain of these functions.

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

more
View

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

Mobius Math Academy logo
Function Domain - Fraction Integer over Root of Linear to Domain Definition
1
What set describes the domain of this function?
A LaTex expression showing f(x) = 4 over square root of -1x+5
a A LaTex expression showing \{X \in \mathbb{{R}} \vert -2 < 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) = 1 over square root of -1x-2
a A LaTex expression showing \{X \in \mathbb{{R}} \vert -2 < X\}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert X < -2\}
3
What set describes the domain of this function?
A LaTex expression showing f(x) = -1 over square root of 1x+3
a A LaTex expression showing \{X \in \mathbb{{R}} \vert -3 < X\}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert X < -3\}
4
A LaTex expression showing f(x) = -4 over square root of -1x+5
What set describes the domain of this function?
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\}
5
A LaTex expression showing f(x) = -2 over square root of 1x-0
What set describes the domain of this function?
a A LaTex expression showing \{X \in \mathbb{{R}} \vert 0 \le X\}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert 0 < X\}
6
What set describes the domain of this function?
A LaTex expression showing f(x) = 5 over square root of 1x+4
a A LaTex expression showing \{X \in \mathbb{{R}} \vert -4 < X\}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert X < -4\}
7
What set describes the domain of this function?
A LaTex expression showing f(x) = 3 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\}
8
A LaTex expression showing f(x) = -4 over square root of 1x-2
What set describes the domain of this function?
a A LaTex expression showing \{X \in \mathbb{{R}} \vert 2 < X\}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert X < 2\}