f (æ) = a* + 2a? – a – 3 Show that all of the following expressions can be ag (x): x + 3 – x4 91 (x) x + 3 92 (x) = ( x² + 2 3x4 + 2x? + 3 93 (æ) 4x3 + 4x – 1 Perform 4 iterations (upto x4, if possible) with xo = land the recursion relation xm+1= g (xm)for each g. Comment on the root in each case

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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f (x) = x* + 2x? – x – 3
Show that all of the following expressions can be a g (x):
1
x + 3 – x, 2
G1 (x) = (
(-
2
2
92 (x)
x2 + 2
3x4 + 2x? + 3
93 (x)
4x3 + 4x – 1
Perform 4 iterations (upto x4, if possible) with xo = land the recursion relation xn+1 = g (Xn )for each g. Comment on the root in each case.
Transcribed Image Text:f (x) = x* + 2x? – x – 3 Show that all of the following expressions can be a g (x): 1 x + 3 – x, 2 G1 (x) = ( (- 2 2 92 (x) x2 + 2 3x4 + 2x? + 3 93 (x) 4x3 + 4x – 1 Perform 4 iterations (upto x4, if possible) with xo = land the recursion relation xn+1 = g (Xn )for each g. Comment on the root in each case.
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