Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - Chapter 2 Test Prep - Review Exercises - Page 299: 103

Answer

$\color{blue}{\bf{ 3x^4-9x^3-16x^2+12x+16 }}$

Work Step by Step

We are given the two functions $\bf{f}$ and $\bf{g}$ $\bf{f(x) = 3x^2 - 4 }$ and $\bf{g(x) = x^2 - 3x - 4 }$ We are asked to find $\bf{ ( f*g )(x) }$ $( f *g )(x) = (3x^2 - 4 )(x^2 - 3x - 4 ) $ $3x^4-9x^3-12x^2-4x^2+12x+16 $ $\color{blue}{\bf{ 3x^4-9x^3-16x^2+12x+16 }}$
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