Explain in your own words what the meaning of domain is. Also, explain why a den

Question

Explain in your own words what the meaning of domain is. Also, explain why a denominator cannot be zero. Find the domain for each of your two rational expressions. Write the domain of each rational expression in set notation (as demonstrated in the example). Do both of your rational expressions have excluded values in their domains? If yes, explain why they are to be excluded from the domains. If no. explain why no exclusions are necessary. Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words: use them appropriately in sentences describing your math work. Domain Excluded value Set Factor Real numbers

Explanation / Answer

Solution:

1. image does not work

2. a domain is a set of values or range of values that are used as an input for your function

3. the denominator cannot be equal to zero because the value obtained is considered to be undefined

fix the image if you want complete answers but basically I'll provide the definition of the other words so you can work on it on your own:

Excluded value: numbers that are considered to be left out or illogical in a function or equation

For example, we know the denominator cannot be zero so given this,

y=1/(5-x)

an excluded value for x is 5 because 5-5=0

Set: a set is a collection of numbers or a list of numbers

For example, a set of even numbers called A ranging from 0-10,

(A)={2,4,6,8,10}

Factor: based on your list I'm guessing in this context factor refers to an independent variable

Real numbers: all numbers that are considered logical are real numbers

The only example I can think of at the top of my head which is not a real number is i=sqrt(-1) or basically the square root of any negative number

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