Domain: Find the domain of an expression with fractions

Examples with solutions for Domain: 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

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

What is the field of application of the equation?

Video Solution

Answer

x5 x\operatorname{\ne}-5

Exercise #4

Select the field of application of the following fraction:

3x+2 \frac{3}{x+2}

Video Solution

Answer

x2 x\neq-2

Exercise #5

Select the field of application of the following fraction:

82+x \frac{8}{-2+x}

Video Solution

Answer

x2 x\neq2

Exercise #6

Select the field of application of the following fraction:

713+x \frac{7}{13+x}

Video Solution

Answer

x13 x\neq-13

Exercise #7

Select the field of application of the following fraction:

x+83x \frac{x+8}{3x}

Video Solution

Answer

x0 x\neq0

Exercise #8

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

What is the domain of the equation above?

Video Solution

Answer

x≠0

Exercise #9

What is the domain of the exercise?

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

Video Solution

Answer

x≠3

Exercise #10

x+y:32x+6=4 \frac{x+y:3}{2x+6}=4

What is the field of application of the equation?

Video Solution

Answer

x3 x\operatorname{\ne}-3

Exercise #11

Select the field of application of the following fraction:

16+82x 16+\frac{8}{2x}

Video Solution

Answer

x0 x\neq0

Exercise #12

Select the field of application of the following fraction:

8+3x+2 -8+\frac{3}{x+2}

Video Solution

Answer

All numbers except (-2)

Exercise #13

Select the field of application of the following fraction:

xx+3 \frac{x}{x+3}

Video Solution

Answer

x3 x\neq-3

Exercise #14

Select the field of application of the following fraction:

8xx \frac{-8-x}{-x}

Video Solution

Answer

x0 x\neq0

Exercise #15

Choose the field of application of the following fraction:

8x3x+2 \frac{-8-x}{-3x+2}

Video Solution

Answer

x23 x\neq\frac{2}{3}

Exercise #16

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

What is the field of application of the equation?

Video Solution

Answer

y6 y\operatorname{\ne}-6

Exercise #17

xyz2(3+y)+4=8 \frac{xyz}{2(3+y)+4}=8

What is the field of application of the equation?

Video Solution

Answer

y5 y\ne-5

Exercise #18

Is the equation a true or false statement?

x264x+8=x2+64x+8 \frac{x^2-64}{x+8}=\frac{x^2+64}{x+8}

Video Solution

Answer

Lie

Exercise #19

Solve the following equation:

x3+1(x+1)2=x \frac{x^3+1}{(x+1)^2}=x

Video Solution

Answer

x=12 x=\frac{1}{2}