Domain: Identifying and defining elements

Question 1

Select the domain of the following fraction:

$\frac{8+x}{5}$

Question 2

Select the the domain of the following fraction:

$\frac{6}{x}$

Question 3

Select the field of application of the following fraction:

$\frac{x}{16}$

Examples with solutions for Domain: Identifying and defining elements

Exercise #1

Select the domain of the following fraction:

$\frac{8+x}{5}$

Video Solution

Step-by-Step Solution

The domain depends on the denominator and we can see that there is no variable in the denominator.

Therefore, the domain is all numbers.

Answer

All numbers

Exercise #2

Select the the domain of the following fraction:

$\frac{6}{x}$

Video Solution

Step-by-Step Solution

The domain of a fraction depends on the denominator.

Since you cannot divide by zero, the denominator of a fraction cannot equal zero.

Therefore, for the fraction $\frac{6}{x}$ , the domain is "All numbers except 0," since the denominator cannot equal zero.

In other words, the domain is:

$x\ne0$

Answer

All numbers except 0

Exercise #3

Select the field of application of the following fraction:

$\frac{x}{16}$

Video Solution

Answer

$All~X$