This discussion board is a place to discuss our Daily Challenges and the math and science
related to those challenges. Explanations are more than just a solution — they should
explain the steps and thinking strategies that you used to obtain the solution. Comments
should further the discussion of math and science.
When posting on Brilliant:
Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.
Markdown
Appears as
*italics* or _italics_
italics
**bold** or __bold__
bold
- bulleted - list
bulleted
list
1. numbered 2. list
numbered
list
Note: you must add a full line of space before and after lists for them to show up correctly
We do not know anything about the fuctions. First of all we dont know whether they are continuous. Secondly, we dont know what values they take. For example assume f() takes some value in its range for some x, we dont know the respective value of g() for that x.. It may even be possible for the given expression to become undefined. But we cant say anything since we dont know f and g. If f and g are given, then it is possible.. Otherwise, i dont think we can do it.
We may be able to devise a set method or tactics to solve problems like this when f and g are given. We may be able to find a weak range.. Nothing more.
@Kushal Patankar
–
Nope.. Even now, it is ambiguous. Consider something like f(x)=x and g(x)=x+1 for x between some negative number and some positive number. Here, there is no element in range as given expression is undefined everywhere.
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*
or_italics_
**bold**
or__bold__
paragraph 1
paragraph 2
[example link](https://brilliant.org)
> This is a quote
\(
...\)
or\[
...\]
to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
Sort by:
Top NewestDon't you think your question is too vague??
Log in to reply
Yep, i got that now. It was just crazy curiosity
Log in to reply
This question is too vague. We cannot proceed further without some information about the functions given . please try to expkain further.
Log in to reply
What would be further necessary information.
Log in to reply
We do not know anything about the fuctions. First of all we dont know whether they are continuous. Secondly, we dont know what values they take. For example assume f() takes some value in its range for some x, we dont know the respective value of g() for that x.. It may even be possible for the given expression to become undefined. But we cant say anything since we dont know f and g. If f and g are given, then it is possible.. Otherwise, i dont think we can do it.
We may be able to devise a set method or tactics to solve problems like this when f and g are given. We may be able to find a weak range.. Nothing more.
Log in to reply
Log in to reply
Log in to reply
Does it matter whether f(x) and g(x) are continous?
Log in to reply