# Let u and v be the linear functions defined asu(x)=2x+3,v(u)=3x-2.Find the compositions u*v and v*u. Graph the linear functions (u*v)(x)and(v*u)(x)in the same coordinate system.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Question

Let u and v be the linear functions defined as
u(x)=2x+3,
v(u)=3x-2.
Find the compositions u*v and v*u. Graph the linear functions (u*v)(x)and(v*u)(x)in the same coordinate system.

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