07. Suppose that f, g : R → R, are convex functions of one variable things. Let's define a function h of two variables by setting h:R2 →R,h(x1,x2)=f(x1)+g(x2). Is h necessarily convex? Justify your answer.
07. Suppose that f, g : R → R, are convex functions of one variable things. Let's define a function h of two variables by setting h:R2 →R,h(x1,x2)=f(x1)+g(x2). Is h necessarily convex? Justify your answer.
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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07. Suppose that f, g : R → R, are convex functions of one variable things. Let's define a function h of two variables by setting h:R2 →R,h(x1,x2)=f(x1)+g(x2). Is h necessarily convex? Justify your answer.
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