Domain of a Function: Find the domain of an expression with fractions

Consider the following function:

$\frac{3x+4}{2x-1}$

What is the domain of the function?

$x\ne\frac{1}{2}$

Given the following function:

$\frac{12}{8x-4}$

What is the domain of the function?

$x\ne\frac{1}{2}$

Given the following function:

$\frac{24}{21x-7}$

What is the domain of the function?

$x\ne\frac{1}{3}$

Look at the following function:

$\frac{10x-3}{5x-3}$

What is the domain of the function?

$x\ne\frac{3}{5}$

Look at the following function:

$\frac{20}{10x-5}$

What is the domain of the function?

$x\ne\frac{1}{2}$

Look at the following function:

$\frac{2x+2}{3x-1}$

What is the domain of the function?

$x\ne\frac{1}{3}$

Look at the following function:

$\frac{2x+2}{9x+6}$

What is the domain of the function?

$x\ne-\frac{2}{3}$

Look at the following function:

$\frac{5x+2}{4x-3}$

What is the domain of the function?

$x\ne\frac{3}{4}$

Look the following function:

$\frac{1}{5x-4}$

What is the domain of the function?

$x\ne\frac{4}{5}$

$22(\frac{2}{x}-1)=30$

What is the domain of the equation above?

x≠0

$2x-3=\frac{4}{x}$

What is the domain of the exercise?

x≠0

$2x+\frac{6}{x}=18$

What is the domain of the above equation?

x≠0

$\frac{3x:4}{y+6}=6$

What is the field of application of the equation?

$y\operatorname{\ne}-6$

$\frac{6}{x+5}=1$

What is the field of application of the equation?

$x\operatorname{\ne}-5$

$\frac{x+y:3}{2x+6}=4$

What is the field of application of the equation?

$x\operatorname{\ne}-3$

What is the domain of the exercise?

$\frac{5x+8}{2x-6}=30$

x≠3

Given the following function:

$\frac{3x+4}{\frac{1}{2}x}$

What is the domain of the function?

$x\ne0$

Given the following function:

$\frac{5x+15}{10x+\frac{1}{2}}$

What is the domain of the function?

$x\ne-\frac{1}{20}$

Given the following function:

$\frac{65}{(2x-2)^2}$

What is the domain of the function?

$x\ne1$

Given the following function:

$\frac{8}{x-2\frac{1}{2}}$

What is the domain of the function?

$x\ne2\frac{1}{2}$