perplexus.info :: Just Math : Real Functions Determination

Real Functions Determination (Posted on 2015-05-02)

Find all real valued functions G(x) on integers is such that:

(i) G(1) = 5/2, and:
(ii) G(0) is not zero, and:
(iii) G(A)*G(B) = G(A+B)+G(A-B), for all A and B

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

G(A) = 2^A + 2^-A.
For an explanation, refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Determined Function (spoiler)	K Sengupta	2024-05-07 02:51:00
re(2): Determined Function (spoiler)	xdog	2015-05-02 15:03:38
re: Determined Function (spoiler)	Steve Herman	2015-05-02 11:21:12
Determined Function (spoiler)	Steve Herman	2015-05-02 11:19:33
solution	xdog	2015-05-02 11:19:14

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