Domain: Identifying and defining elements

Question 1

Select the field of application of the following fraction:

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

Question 2

Select the field of application 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

Select the field of application of the following fraction:

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

Since the domain depends on the denominator, we note that there is no variable in the denominator.

Therefore, the domain is all numbers.

All numbers

Select the field of application of the following fraction:

$\frac{6}{x}$

Since the domain of definition depends on the denominator, and X appears in the denominator

All numbers will be suitable except for 0.

In other words, the domain of definition:

$x\ne0$

All numbers except 0

Select the field of application of the following fraction:

$\frac{x}{16}$

$All~X$