Consider two functions f(x) = 2x² + 16x + 6 g(x) = -8x² + 4x + 1. Let a be the maximum value of f(x) + g(x), and b the value of x at that moment. Then what is the value of a + b?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 24CR
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Question
Consider two functions
f(x) = 2x² + 16x + 6
g(x) = -8x² + 4x + 1.
Let a be the maximum value of f(x) + g(x), and b the value of x at that moment. Then what
is the value of a + b?
Transcribed Image Text:Consider two functions f(x) = 2x² + 16x + 6 g(x) = -8x² + 4x + 1. Let a be the maximum value of f(x) + g(x), and b the value of x at that moment. Then what is the value of a + b?
Expert Solution
Step 1

f(x)=-2x2+16x+6g(x)=-8x2+4x+1a is maximum value os f(x)+g(x)b the value of x at that momentdxndx=nxn-1

 

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