Gamezilla is a company that sells video games. Its revenue last year was modelled by the function g(x) = 4x + 6x(4x - 1) - 4 and its revenue this year is modelled by the function f(x) = - 3x²(x² - 8) - 6x - 5 where x is the number of video games sold in thousands and revenue is in millions of dollars. Determine the range of values for the number of video games sold that makes the revenue this year greater than the revenue last year. You must use a full algebraic solution. [Hint: Make f(x) > g(x) and solve for x]
Gamezilla is a company that sells video games. Its revenue last year was modelled by the function g(x) = 4x + 6x(4x - 1) - 4 and its revenue this year is modelled by the function f(x) = - 3x²(x² - 8) - 6x - 5 where x is the number of video games sold in thousands and revenue is in millions of dollars. Determine the range of values for the number of video games sold that makes the revenue this year greater than the revenue last year. You must use a full algebraic solution. [Hint: Make f(x) > g(x) and solve for x]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![4. Gamezilla
g(x) =
f(x) =
is a company that sells video games. Its revenue last year was modelled by the function
-4x² + 6x(4x − 1) − 4 and its revenue this year is modelled by the function
3x²(x² - 8) - 6x - 5 where x is the number of video games sold in thousands and
revenue is in millions of dollars. Determine the range of values for the number of video games sold
that makes the revenue this year greater than the revenue last year.
You must use a full algebraic solution. [Hint: Make f(x) > g(x) and solve for x]
==](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0dda770a-aa48-4b1d-8cb0-b058c5e44524%2F7ce676ef-6307-4cb8-9841-b2714f70803c%2F1mde8p_processed.png&w=3840&q=75)
Transcribed Image Text:4. Gamezilla
g(x) =
f(x) =
is a company that sells video games. Its revenue last year was modelled by the function
-4x² + 6x(4x − 1) − 4 and its revenue this year is modelled by the function
3x²(x² - 8) - 6x - 5 where x is the number of video games sold in thousands and
revenue is in millions of dollars. Determine the range of values for the number of video games sold
that makes the revenue this year greater than the revenue last year.
You must use a full algebraic solution. [Hint: Make f(x) > g(x) and solve for x]
==
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