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?

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

Look at the following function:

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

What is the domain of the function?

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

Given the following function:

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

What is the domain of the function?

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

Look at the following function:

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

What is the domain of the function?

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

Look at the following function:

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

What is the domain of the function?

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

Look the following function:

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

What is the domain of the function?

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

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:

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

What is the domain of the function?

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

Look at the following function:

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

What is the domain of the function?

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

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

What is the domain of the above equation?

x≠0

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

What is the domain of the exercise?

x≠0

Look at the following function:

$\frac{10x}{\frac{1}{2}}$

What is the domain of the function?

All real numbers

Look at the following function:

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

What is the domain of the function?

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

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?

$x\ne1$

Look at the following function:

$\frac{4x+4}{x-\frac{1}{8}}$

What is the domain of the function?

$x\ne\frac{1}{8}$

Look at the following function:

$\frac{23}{x-\frac{1}{4}}$

What is the domain of the function?

$x\ne\frac{1}{4}$

Look at the following function:

$\frac{9}{3x+\frac{1}{2}}$

What is its domain?

$x\ne-\frac{1}{6}$

Given the following function:

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

What is the domain of the function?

$x\ne0$

Given the following function:

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

What is the domain of the function?

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