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Let f(x) = 2log æ+¹ + x + 1, g(x) = 4x²log (32) + 7x log(x²) + 4x, and h(x) Select all that apply. 5x log() + 16. Which of the following statements is/are true? f(x) is O(g(x)) (f+g+h)(x) is O(x²) O g(x) is 0(h(x))

Let f(x) = 2log æ+¹ + x + 1, g(x) = 4x²log (32) + 7x log(x²) + 4x, and h(x) Select all that apply. 5x log() + 16. Which of the following statements is/are true? f(x) is O(g(x)) (f+g+h)(x) is O(x²) O g(x) is 0(h(x))

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 37E
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Let ƒ(x) 2log æ+1 + x + 1, g(x) = 4x² log (32) + 7x log(x²) + 4x, and h(x) = 5x log() + 16. Which of the following statements is/are true? Select all that apply. = f(x) is O(g(x)) (f+g+h)(x) is O(x²) g(x) is O(h(x)) (fgh)(x) is 0(x4) f(x) is O(h(x)) h(x) is O(f(x)) h(x) is O(g(x)) g(x) is O(f(x))
Transcribed Image Text:Let ƒ(x) 2log æ+1 + x + 1, g(x) = 4x² log (32) + 7x log(x²) + 4x, and h(x) = 5x log() + 16. Which of the following statements is/are true? Select all that apply. = f(x) is O(g(x)) (f+g+h)(x) is O(x²) g(x) is O(h(x)) (fgh)(x) is 0(x4) f(x) is O(h(x)) h(x) is O(f(x)) h(x) is O(g(x)) g(x) is O(f(x))
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