perplexus.info :: Calculus : Get Sum Value

Home > Just Math > Calculus

Get Sum Value (Posted on 2007-12-17)

g(y) = y + (-1)^y-1, where y is a positive integer.

Determine h(12) + h(17), given that h(g(y)) = y

See The Solution Submitted by K Sengupta

Rating: 2.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Solution

| Comment 1 of 3

g(y) = y - 1 if y is even,
y + 1 if y is odd

therefore, g(g(y)) = y

therefore, g(y) = h(y)

h(12) + h(17) = 11 + 18 = 29

In general, h(a) + h(b) = a + b, if one is even and the other is odd

Posted by Steve Herman on 2007-12-17 12:14:04

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info