B Com Exam > B Com Questions > If f(x) =log x, prove that, f(1/x) =-f(x)?
Start Learning for Free
If f(x) =log x, prove that, f(1/x) =-f(x)?
Most Upvoted Answer
If f(x) =log x, prove that, f(1/x) =-f(x)?
Proof:
We need to prove that f(1/x) = -f(x), where f(x) = log x.
1. Finding f(1/x)
To find f(1/x), we substitute 1/x in place of x in the function f(x) = log x.
So, f(1/x) = log (1/x)
Using the property of logarithms, log (1/x) = log 1 - log x
Since log 1 = 0, we get f(1/x) = - log x
2. Proving f(1/x) = -f(x)
Now we need to prove that f(1/x) = -f(x), i.e., -log x = -log x.
This is true since the negative of a number is equal to the negative of that number.
Therefore, we have proved that f(1/x) = -f(x), where f(x) = log x.
We need to prove that f(1/x) = -f(x), where f(x) = log x.
1. Finding f(1/x)
To find f(1/x), we substitute 1/x in place of x in the function f(x) = log x.
So, f(1/x) = log (1/x)
Using the property of logarithms, log (1/x) = log 1 - log x
Since log 1 = 0, we get f(1/x) = - log x
2. Proving f(1/x) = -f(x)
Now we need to prove that f(1/x) = -f(x), i.e., -log x = -log x.
This is true since the negative of a number is equal to the negative of that number.
Therefore, we have proved that f(1/x) = -f(x), where f(x) = log x.
|
Explore Courses for B Com exam
|
|
Similar B Com Doubts
If f(x) =log x, prove that, f(1/x) =-f(x)?
Question Description
If f(x) =log x, prove that, f(1/x) =-f(x)? for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about If f(x) =log x, prove that, f(1/x) =-f(x)? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If f(x) =log x, prove that, f(1/x) =-f(x)?.
If f(x) =log x, prove that, f(1/x) =-f(x)? for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about If f(x) =log x, prove that, f(1/x) =-f(x)? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If f(x) =log x, prove that, f(1/x) =-f(x)?.
Solutions for If f(x) =log x, prove that, f(1/x) =-f(x)? in English & in Hindi are available as part of our courses for B Com.
Download more important topics, notes, lectures and mock test series for B Com Exam by signing up for free.
Here you can find the meaning of If f(x) =log x, prove that, f(1/x) =-f(x)? defined & explained in the simplest way possible. Besides giving the explanation of
If f(x) =log x, prove that, f(1/x) =-f(x)?, a detailed solution for If f(x) =log x, prove that, f(1/x) =-f(x)? has been provided alongside types of If f(x) =log x, prove that, f(1/x) =-f(x)? theory, EduRev gives you an
ample number of questions to practice If f(x) =log x, prove that, f(1/x) =-f(x)? tests, examples and also practice B Com tests.
|
|
Explore Courses for B Com exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup