Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Review - Page 596: 29

Answer

The graph of both functions together is:

Work Step by Step

$f(x)=-2x+3$ Substitute $f(x)$ by $y$: $y=-2x+3$ Solve for $x$: $y-3=-2x$ $-2x=y-3$ $x=\dfrac{3-y}{2}$ Interchange $x$ and $y$: $y=\dfrac{3-x}{2}$ Substitute $y$ by $f^{-1}(x)$: $f^{-1}(x)=\dfrac{3-x}{2}$
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