(b) Show that the function f(x) = – log (V1 – x2) with dom f =(-1,1) is convex. Justify your calcu- lations by stating c

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B Show That The Function F X Log V1 X2 With Dom F 1 1 Is Convex Justify Your Calcu Lations By Stating C 1 (49.29 KiB) Viewed 28 times

im struggling with convex functions could someone explain how to
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(b) Show that the function f(x) = – log (V1 – x2) with dom f =(-1,1) is convex. Justify your calcu- lations by stating clearly which of the rules below you use. Let f(x) = h(g(x)) Rule (i): f is convex if h is convex, ñ is non-decreasing, g is convex h is convex, ñ is non-increasing, g is concave Rule (ii): f is concave if { h is concave, Ñ is non-decreasing, g is concave h is concave, ñ is non-increasing, g is convex g