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Defined Function (Posted on 2010-10-24) Difficulty: 3 of 5
A function f, defined for all non-zero real numbers x, satisfies:

f(x) + 4f(1/x) = 3x.

[1] Find all values of x for which f(x)=f(1/x);

[2] Find all values of x for which f(x)=f(-x).

No Solution Yet Submitted by Jer    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: True story Comment 4 of 4 |
(In reply to True story by Jer)

Now that's funny!  I think the problem is better which two pieces, since solving the first easy part can get get you off on the wrong start for the second part.
  Posted by Steve Herman on 2010-10-27 12:49:00

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