   Chapter 3.R, Problem 14TFQ

Chapter
Section
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or given an example that disproves the statement. f and g are positive increasing functions on an interval I , then f g is increasing on I .

To determine

Whether the given statement is true or false

Explanation

Given that f and g are positive increasing functions on an interval I.

Assume two points x1 and x2 such that x1< x2 from an interval I.

As f is positive increasing, 0< fx1< fx2.

As g is positive increasing, 0<gx1< gx2

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