Given that f(x)= x² + 5x and g(x) = x -2, find the unsimplified AND simplified versions of the following compositions: a) (fog)(x)- (x-2)² +5(x-2) (fog)(x)- (x-2)(x+3) unsimplified x simplified b) (fof)(x)= (x² + 5x)² +5(x² + 5x) (fof)(x)= x(x+5)(x² + 5x+5) x simplified unsimplified

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra
Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...
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Given that f(x) = x² + 5x and g(x) = x2, find the unsimplified AND simplified versions of the
following compositions:
a) (fog)(x)=(x-2)² +5(x-2)
unsimplified
(fog)(x)= (x-2)(x+3)
b) (f of)(z)= (22+5 +522+52)
5x
(fof)(x)= x(x+5)(x² + 5x+5) x simplified
x simplified
unsimplified
Transcribed Image Text:Given that f(x) = x² + 5x and g(x) = x2, find the unsimplified AND simplified versions of the following compositions: a) (fog)(x)=(x-2)² +5(x-2) unsimplified (fog)(x)= (x-2)(x+3) b) (f of)(z)= (22+5 +522+52) 5x (fof)(x)= x(x+5)(x² + 5x+5) x simplified x simplified unsimplified
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