College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.8 - One-to-One Functions and their Inverses - 2.8 Exercises: 70

Answer

$f^{-1}(x) = \sqrt {4 - y^{2}}, 0\leq x\leq 2$

Work Step by Step

$f(x) = \sqrt {4 - x^{2}}, 0\leq x\leq 2$ $y = \sqrt {4 - x^{2}}$ $y^{2} = 4 - x^{2}$ $x^{2} = 4 - y^{2}$ $x = \sqrt {4 - y^{2}}$ $f^{-1}(x) = \sqrt {4 - y^{2}}, 0\leq x\leq 2$
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