Function Domain - Fraction Root of Linear over Root of Linear to Domain Definition (Level 1) - Mobius Math Academy

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

Level 1

This math topic focuses on determining the domain of functions involving fractional expressions with square roots in both the numerator and the denominator. It involves solving expressions where linear terms are placed under square roots, requiring students to analyze the conditions under which the expressions within the roots do not result in undefined operations (like taking the square root of a negative number). The problems are presented in a multiple-choice format, where learners must select the correct domain from given options.

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

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

$A LaTex expression showing f(x) = \frac{square root of 1x+3}{square root of -1x-4}$

What set describes the domain of this function?

a $A LaTex expression showing \{X \in \mathbb{{R}} \vert \}$

b $A LaTex expression showing \{ \}$

What set describes the domain of this function?

$A LaTex expression showing f(x) = \frac{square root of -1x+3}{square root of 1x+5}$

a $A LaTex expression showing \{X \in \mathbb{{R}} \vert -5 < X \le 3\}$

b $A LaTex expression showing \{X \in \mathbb{{R}} \vert -5 \le X < 3\}$

$A LaTex expression showing f(x) = \frac{square root of -1x-4}{square root of 1x+1}$

What set describes the domain of this function?

a $A LaTex expression showing \{X \in \mathbb{{R}} \vert \}$

b $A LaTex expression showing \{ \}$

$A LaTex expression showing f(x) = \frac{square root of -1x+4}{square root of -1x-0}$

What set describes the domain of this function?

a $A LaTex expression showing \{X \in \mathbb{{R}} \vert 0 < X\}$

b $A LaTex expression showing \{X \in \mathbb{{R}} \vert X < 0\}$

$A LaTex expression showing f(x) = \frac{square root of 1x+1}{square root of 1x-3}$

What set describes the domain of this function?

a $A LaTex expression showing \{X \in \mathbb{{R}} \vert X < 3\}$

b $A LaTex expression showing \{X \in \mathbb{{R}} \vert 3 < X\}$

What set describes the domain of this function?

$A LaTex expression showing f(x) = \frac{square root of -1x+1}{square root of -1x-3}$

a $A LaTex expression showing \{X \in \mathbb{{R}} \vert -3 < X\}$

b $A LaTex expression showing \{X \in \mathbb{{R}} \vert X < -3\}$

What set describes the domain of this function?

$A LaTex expression showing f(x) = \frac{square root of 1x+1}{square root of -1x+2}$

a $A LaTex expression showing \{X \in \mathbb{{R}} \vert -1 \le X\}$

b $A LaTex expression showing \{X \in \mathbb{{R}} \vert -1 \le X < 2\}$

$A LaTex expression showing f(x) = \frac{square root of -1x+1}{square root of -1x+5}$

What set describes the domain of this function?

a $A LaTex expression showing \{X \in \mathbb{{R}} \vert X \le 1\}$

b $A LaTex expression showing \{X \in \mathbb{{R}} \vert 1 \le X\}$