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Inequalities of the Form \( f(g(x)) \geq f(x)\)

by Tal Kubo (Brookline High School)

This article originally appeared in:
Mathematics Magazine
December, 1990

Subject classification(s): Algebra and Number Theory | Algebra | Inequalities | Calculus | Single Variable Calculus | Functions
Applicable Course(s): 3.0 Calculus | 3.1 Mainstream Calculus I | 4.21 Senior Seminar / Independent Study in Math

The author gives two applications of a method for finding a function \(g\) such that \(f(g(x)) \geq f(x)\).

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Capsule Course Topic(s):
One-Variable Calculus | Integration: Applications
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