Answer
$(g-f)(x)=x^2-8x+12$
Work Step by Step
We know that $(g-f)(x)=g(x)-f(x)$.
Substituting the values, we get
$\begin{align} (g-f)(x)&=(x^2-3x+4)-(5x-8) \\ &= x^2-3x+4-5x+8 \\ &= x^2-8x+12\end{align}$
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 2 - Linear and Quadratic Functions - Section 2.2 Building Linear Models from Data - 2.2 Assess Your Understanding - Page 136: 30
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