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3. Consider the piecewise functions f(x) and g(x) defined below. Suppose that the function f(x) is differentiable everywhere and that f(x) > g(x) for every real number x. What is then the value of a + k? 1. ○ 2. ○ 3. 4. f(x): if x a = (x-2)2(3x+1) if x > a g(x) = So = 1. 85/16 2. 83/16 3. 81/16 4. 5 if x k 64(x-k) if x>k

3. Consider the piecewise functions f(x) and g(x) defined below. Suppose that the function f(x) is differentiable everywhere and that f(x) > g(x) for every real number x. What is then the value of a + k? 1. ○ 2. ○ 3. 4. f(x): if x a = (x-2)2(3x+1) if x > a g(x) = So = 1. 85/16 2. 83/16 3. 81/16 4. 5 if x k 64(x-k) if x>k

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 50HP
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3. Consider the piecewise functions f(x) and g(x) defined below. Suppose that the function f(x) is differentiable everywhere and that f(x) > g(x) for every real number x. What is then the value of a + k? 1. ○ 2. ○ 3. 4. f(x): if x a = (x-2)2(3x+1) if x > a g(x) = So = 1. 85/16 2. 83/16 3. 81/16 4. 5 if x k 64(x-k) if x>k
Transcribed Image Text:3. Consider the piecewise functions f(x) and g(x) defined below. Suppose that the function f(x) is differentiable everywhere and that f(x) > g(x) for every real number x. What is then the value of a + k? 1. ○ 2. ○ 3. 4. f(x): if x a = (x-2)2(3x+1) if x > a g(x) = So = 1. 85/16 2. 83/16 3. 81/16 4. 5 if x k 64(x-k) if x>k
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