Answer
See graph, minimum $1.76$ at $x=1.32$.
Work Step by Step
See graph for $f(x)=x+\frac{1}{x^3}, x\gt0$ and we can identify a minimum $f(1.32)=1.76$ at $x=1.32$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 3 - Polynomial and Rational Functions - Section 3.5 The Graph of a Rational Function - 3.5 Assess Your Understanding - Page 256: 55
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