Domain of a Function: Multiple domains

Find the area of domain (no need to solve)

$\frac{14}{x}-6x=\frac{2}{x-5}$

$x≠0,x≠5$

Find the area of domain (no need to solve)

$9(4x-\frac{5}{x})=20(3x-\frac{6}{x+1})$

$x≠0,x≠-1$

Find the domain

(no need to resolve)

$\frac{5x}{2(x-7)}=\frac{10}{8x}$

$x≠0,x≠7$

Find the area of domain (no need to solve)

$\frac{7}{x+5}=\frac{6}{13x}$

$x≠0,x≠-5$

Find the area of domain (no need to solve)

$(\frac{4}{x-2})\times(\frac{7x}{x-6})=2$

$x≠2,x≠6$

Look at the following function:

$\frac{\sqrt{-3x^2+12}}{9}$

What is the domain of the function?

$-2 \le x \le 2$

Look at the following function:

$\frac{\sqrt{5x^2+2}}{10}$

What is the domain of the function?

All real numbers

Look at the following function:

$\frac{\sqrt{3x^2+7}}{12}$

What is the domain of the function?

All real numbers

Look at the following function:

$\frac{\sqrt{2.5x^2-5}}{5}$

What is the domain of the function?

$x\ge\sqrt{2},x\le-\sqrt{2}$

Given the following function:

$\frac{\sqrt{3x^2+3}}{9}$

What is the domain of the function?

The entire domain

Look at the following function:

$\frac{\sqrt{4x^2-4}}{10}$

What is the domain of the function?

$x\ge1,x\le-1$

Look at the following function:

$\frac{\sqrt{4x^2-8}}{5}$

What is the domain of the function?

$x\ge\sqrt{2},x\le-\sqrt{2}$

Look at the following function:

$\frac{\sqrt{x^2+2}}{3}$

What is the domain of the function?

All real numbers

Look at the following function:

$\frac{x+2}{\sqrt{3x^2-9}}$

What is the domain of the function?

x>\sqrt{3},x<-\sqrt{3}

Look at the following function:

$\frac{8x}{\sqrt{2x^2-2}}$

What is the domain of the function?

x > 1,x < -1

Look at the following function:

$\frac{5x+4}{\sqrt{x^2-9}}$

What is the domain of the function?

x > 3,x < -3

Given the following function:

$\frac{10x+2}{\sqrt{x^2-4}}$

What is the domain of the function?

x > 2,x < -2

Find the area of domain (no need to solve)

$\frac{x}{5x-6}=\frac{2}{x-1}$

$x≠1,x≠1\frac{1}{5}$

$\frac{\sqrt{15}+34:z}{4y-12+8:2}=5$

What is the field of application of the equation?

$y\operatorname{\ne}2$

Does the following equation have a true or false value?

$\frac{x^2-81}{(x-9)(x+9)}=1$

True only when $x\ne\pm9$.