8. a) Show that f(x) = kg(x) is quasiconvex if g(x) is quasiconvex and k > 0.b) Show that f(x) = (h or g)(x) is convex, if g and h are convex and h is increasing monotone. Please explain as detailed as possible, step by step.
8. a) Show that f(x) = kg(x) is quasiconvex if g(x) is quasiconvex and k > 0.b) Show that f(x) = (h or g)(x) is convex, if g and h are convex and h is increasing monotone. Please explain as detailed as possible, step by step.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 48E
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8. a) Show that f(x) = kg(x) is quasiconvex if g(x) is quasiconvex and k > 0.
b) Show that f(x) = (h or g)(x) is convex, if g and h are convex and h is increasing monotone.
Please explain as detailed as possible, step by step.
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