3. Given that f(x)=3x+8 and h(x)=3x²-12x+2 such that (fog)(x)=h(x). Determine the g(x) in the form of a(x+b)² +c. State the domain and range of g(x).

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.2: Polynomial Functions Of Higher Degree
Problem 6ECP
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3. Given that f(x) = 3x+8 and h(x)=3x² −12x+2 such that (fog)(x) = h(x).
Determine the g(x) in the form of a(x+b)² +c.
State the domain and range of g(x).
Transcribed Image Text:3. Given that f(x) = 3x+8 and h(x)=3x² −12x+2 such that (fog)(x) = h(x). Determine the g(x) in the form of a(x+b)² +c. State the domain and range of g(x).
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