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

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

Exercise #1

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

What is the domain of the above equation?

Video Solution

Answer

x≠0

Exercise #2

2x3=4x 2x-3=\frac{4}{x}

What is the domain of the exercise?

Video Solution

Answer

x≠0

Exercise #3

Look at the following function:

2010x5 \frac{20}{10x-5}

What is the domain of the function?

Video Solution

Answer

x12 x\ne\frac{1}{2}

Exercise #4

Look at the following function:

2x+23x1 \frac{2x+2}{3x-1}

What is the domain of the function?

Video Solution

Answer

x13 x\ne\frac{1}{3}

Exercise #5

Consider the following function:

3x+42x1 \frac{3x+4}{2x-1}

What is the domain of the function?

Video Solution

Answer

x12 x\ne\frac{1}{2}

Exercise #6

Look at the following function:

10x35x3 \frac{10x-3}{5x-3}

What is the domain of the function?

Video Solution

Answer

x35 x\ne\frac{3}{5}

Exercise #7

Look at the following function:

2x+29x+6 \frac{2x+2}{9x+6}

What is the domain of the function?

Video Solution

Answer

x23 x\ne-\frac{2}{3}

Exercise #8

Given the following function:

128x4 \frac{12}{8x-4}

What is the domain of the function?

Video Solution

Answer

x12 x\ne\frac{1}{2}

Exercise #9

Look the following function:

15x4 \frac{1}{5x-4}

What is the domain of the function?

Video Solution

Answer

x45 x\ne\frac{4}{5}

Exercise #10

Given the following function:

2421x7 \frac{24}{21x-7}

What is the domain of the function?

Video Solution

Answer

x13 x\ne\frac{1}{3}

Exercise #11

Look at the following function:

5x+24x3 \frac{5x+2}{4x-3}

What is the domain of the function?

Video Solution

Answer

x34 x\ne\frac{3}{4}

Exercise #12

22(2x1)=30 22(\frac{2}{x}-1)=30

What is the domain of the equation above?

Video Solution

Answer

x≠0

Exercise #13

What is the domain of the exercise?

5x+82x6=30 \frac{5x+8}{2x-6}=30

Video Solution

Answer

x≠3

Exercise #14

Look at the following function:

23x14 \frac{23}{x-\frac{1}{4}}

What is the domain of the function?

Video Solution

Answer

x14 x\ne\frac{1}{4}

Exercise #15

Look at the following function:

10x12 \frac{10x}{\frac{1}{2}}

What is the domain of the function?

Video Solution

Answer

All real numbers

Exercise #16

Look at the following function:

55x+212 \frac{5}{5x+2\frac{1}{2}}

What is the domain of the function?

Video Solution

Answer

x12 x\ne-\frac{1}{2}

Exercise #17

Look at the following function:

52x12 \frac{5}{2x-\frac{1}{2}}

What is the domain of the function?

Video Solution

Answer

x14 x\ne\frac{1}{4}

Exercise #18

Look at the following function:

93x+12 \frac{9}{3x+\frac{1}{2}}

What is its domain?

Video Solution

Answer

x16 x\ne-\frac{1}{6}

Exercise #19

Look at the following function:

56x112 \frac{5}{6x-1\frac{1}{2}}

What is the domain of the function?

Video Solution

Answer

x14 x\ne\frac{1}{4}

Exercise #20

Given the following function:

3x+412x \frac{3x+4}{\frac{1}{2}x}

What is the domain of the function?

Video Solution

Answer

x0 x\ne0