Let f: R → R be defined by f(x) = 4x² + 2 and set y = f(x). (a) The level sets of f are subsets of Rk for k = 6. If there is more (b) Find the level set of f at level y = than one answer, enter your answers as a comma separated list.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 23E: Let f(x),g(x),h(x)F[x] where f(x) and g(x) are relatively prime. If h(x)f(x), prove that h(x) and...
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Let f: R → R be defined by f(x) = 4x² + 2 and set
y = f(x).
(a) The level sets of f are subsets of Rk for k
=
6. If there is more
(b) Find the level set of f at level y
=
than one answer, enter your answers as a comma
separated list.
Transcribed Image Text:Let f: R → R be defined by f(x) = 4x² + 2 and set y = f(x). (a) The level sets of f are subsets of Rk for k = 6. If there is more (b) Find the level set of f at level y = than one answer, enter your answers as a comma separated list.
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