What is the Domain of 1/x and 1/[(x - 1)(x + 2)(x - 3)]?

  • MHB
  • Thread starter mathdad
  • Start date
It should be D = {x|x CANNOT be 1, -2, 3}. In summary, the domain for the first variable is any number except for 0, and for the second variable, it cannot be 1, -2, or 3.
  • #1
mathdad
1,283
1
Specify the domain of each variable.

1. 1/x

Here x can be any number EXCEPT for 0.

Domain = {x|x CANNOT be 0}

2. 1/[(x - 1)(x + 2)( x - 3)]

Set each factor to 0 and solve for x individually.

x - 1 = 0

x = 1

x + 2 = 0

x = -2

x - 3 = 0

x = 3

Let D = domain

D = {x|x CANNOT be 1, -1, 3}

Correct?
 
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  • #2
RTCNTC said:
Specify the domain of each variable.

1. 1/x

Here x can be any number EXCEPT for 0.

Domain = {x|x CANNOT be 0}

2. 1/[(x - 1)(x + 2)( x - 3)]

Set each factor to 0 and solve for x individually.

x - 1 = 0

x = 1

x + 2 = 0

x = -2

x - 3 = 0

x = 3

Let D = domain

D = {x|x CANNOT be 1, -1, 3}

Correct?

right but there is a typo error D = $\{x|x\, cannot\, be \, be\, 1, -2, 3\}$
 
  • #3
Yes, I made a typo which is a very common mistake using the cell phone keyboard.
 

Related to What is the Domain of 1/x and 1/[(x - 1)(x + 2)(x - 3)]?

What is the meaning of "Specify the Domain....4"?

"Specify the Domain....4" refers to the process of identifying and clearly defining the scope or range of a particular topic or subject matter. It involves determining the specific parameters or boundaries within which the topic or subject applies.

Why is it important to specify the domain in scientific research?

Specifying the domain is important in scientific research because it helps to define the scope and context of the study, ensuring that the research is focused and relevant. It also helps to avoid confusion and ensures that the findings can be applied accurately.

What are some examples of domains in scientific research?

Some examples of domains in scientific research include biology, chemistry, physics, psychology, and environmental science. These domains can also be further broken down into more specific areas of study, such as molecular biology, organic chemistry, astrophysics, and cognitive psychology.

How do you determine the domain for a research project?

The domain for a research project can be determined by considering the specific topic or research question, the relevant theories and concepts, and the intended audience or application of the research. It is also important to review existing literature and research in the field to understand the current domain and potential gaps in knowledge.

What are the potential consequences of not specifying the domain in scientific research?

Not specifying the domain in scientific research can lead to confusion, lack of focus, and inaccurate or irrelevant findings. It can also make it difficult for other researchers to replicate or build upon the study. Additionally, without a clear domain, it is challenging to determine the applicability of the research and its potential impact.

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