SOLUTION: The height of the graph f(x) = x(x - 4)8 - 3(x - 4)9, is negative when x is greater than what number? Give your answer to the nearest hundredth.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The height of the graph f(x) = x(x - 4)8 - 3(x - 4)9, is negative when x is greater than what number? Give your answer to the nearest hundredth.      Log On


   

Question 908625: The height of the graph f(x) = x(x - 4)8 - 3(x - 4)9, is negative when x is greater than what number? Give your answer to the nearest hundredth.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+x%28x+-+4%29%5E8+-+3%28x+-+4%29%5E9
f%28x%29=%28x-4%29%5E8%28x-3%28x-4%29%29
f%28x%29=%28x-4%29%5E8%28x-3x%2B12%29
f%28x%29=%28x-4%29%5E8%2812-2x%29
f%28x%29=2%28x-4%29%5E8%286-x%29
The first term is always positive.
The second term is negative when x%3E6