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).
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).
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe99958c5-51d2-4df8-b298-d6c227a5c429%2F8b95c9a8-fd3e-4e3c-b91a-4f6d71159bc7%2Fmdkr31n_processed.jpeg&w=3840&q=75)
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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