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Another function problem (Posted on 2006-11-19) Difficulty: 3 of 5
Define a sequence of functions f0, f1, f2, ......, by

f0(x)= 8, for all real x, and
fn+1(x) = sqrt(x2 + 6fn(x)); for all real x and all non-negative integers n.

Solve the equation

fn(x)= 2x

See The Solution Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution? | Comment 1 of 12
Am I misinterpreting this question?  It seems too easy, this has a solution when x = 4.

f_0(4) = 8
f_1(4) = sqrt(4^2 + 6*8) = sqrt(64) = 8
etc.

I feel like I must be missing the point...

  Posted by tomarken on 2006-11-19 11:17:32
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