Supplementary question to interesting problem post

In summary, a supplementary question serves to provide additional information and context to an interesting problem in a research study. It should be closely related to the main problem, specific, measurable, and answerable. It can change and evolve as the research progresses and can contribute to the overall findings by guiding the research process and providing valuable insights. However, potential challenges in using a supplementary question include staying focused, avoiding bias, and finding relevant literature or data.
  • #1
jdp
3
0
Supplementary question to "interesting problem" post

If f(2x)=f(f(x))
and f(2x+1)=f(2x)+1

then for what value n such that n is in the set of natural numbers could f(0) equal 2^n.

also for what value n does f(0) equal 2^n +2?
 
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  • #2
Why don't you get some data by working with simple values for x, like 1,0, etc?

You get : f(0)=f(f(0))
f(1)=f(0)+1

Use x=-1/2 , then f(-1)=f(f(-1/2)
f(0)=f(-1)+1

for x=-1 , f(-1)=f(-2)+1 ...
 

1. What is the purpose of a supplementary question in a research study?

A supplementary question serves to provide additional information and context to an interesting problem that has already been identified. It can help to further explore and clarify the problem, and can lead to more specific and targeted research.

2. How do you come up with a good supplementary question?

A good supplementary question should be closely related to the main problem and should build upon it. It should also be specific, measurable, and answerable with the available research methods. It is helpful to brainstorm and consult with colleagues or experts in the field to come up with a strong supplementary question.

3. Can a supplementary question change during the course of a research study?

Yes, a supplementary question can change and evolve as the research progresses. This is a natural part of the research process, as new information and insights are discovered. It is important to regularly reassess and refine the supplementary question to ensure it is still relevant and aligned with the research goals.

4. How does a supplementary question contribute to the overall research findings?

A well-crafted supplementary question can provide valuable insights and contribute to the overall findings of a research study. It can help to guide the research process, provide a deeper understanding of the main problem, and offer potential solutions or recommendations.

5. Are there any potential challenges in using a supplementary question in research?

One potential challenge in using a supplementary question is ensuring that it stays focused and does not become too broad or tangential. It is also important to avoid bias and to clearly define any terms or concepts used in the question. Additionally, it may be difficult to find existing literature or data that directly addresses the supplementary question, which may require adapting research methods or gathering new data.

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