7. Before we formulate the problem make one reminder: A function f is quasiconcave if and only if for every a and y and every A with A € [0; 1], if f(r) ≥ f(y) then f((1-A)r + Ay) ≥ f(y). Suppose that the function F is quasiconcave and the function g is increasing. Show that the function f defined by f(x) = g(F(x)) is quasiconcave.
7. Before we formulate the problem make one reminder: A function f is quasiconcave if and only if for every a and y and every A with A € [0; 1], if f(r) ≥ f(y) then f((1-A)r + Ay) ≥ f(y). Suppose that the function F is quasiconcave and the function g is increasing. Show that the function f defined by f(x) = g(F(x)) is quasiconcave.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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