Letf: [0, ∞)→ [0, ∞) and g: [0, ∞) → [0, ∞) be non-increasing and non-decreasing functions respectively, and h(x) = g(f(x)). If h(0) = 0. Then show h(x) is always identically zero.
Letf: [0, ∞)→ [0, ∞) and g: [0, ∞) → [0, ∞) be non-increasing and non-decreasing functions respectively, and h(x) = g(f(x)). If h(0) = 0. Then show h(x) is always identically zero.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 1CR
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Let/: [0, ∞)[0, ∞) and g: [0, ∞) [0, ∞) be non-increasing and non-decreasing functions respectively, and h(x) = g(f(x)) Ifk(0) = 0 Then show h(x) is always identically zero.
![Letf: [0, ∞)→ [0, ∞) and g: [0, ∞) → [0, ∞) be non-increasing
and non-decreasing functions respectively, and h(x) = g(f(x)).
If h(0) = 0. Then show h(x) is always identically zero.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55da3274-11c8-42f3-865c-0fc31d18c38c%2Fbebd4dad-faaa-4802-b5fe-6cea462c63f3%2F5mobbas_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Letf: [0, ∞)→ [0, ∞) and g: [0, ∞) → [0, ∞) be non-increasing
and non-decreasing functions respectively, and h(x) = g(f(x)).
If h(0) = 0. Then show h(x) is always identically zero.
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