Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
The table contains some input-output pairs for the functions \( f \) and \( g \). \[ \begin{array}{|c|c|c|} \hline x & f(x) & g(x) \\ \hline 2 & 5 & 5 \\ 3 & 3 & 2 \\ 5 & 2 & 9 \\ 6 & 9 & 3 \\ 9 & 6 & 6 \\ \hline \end{array} \] Evaluate the following expressions. a. \( f(g(6)) = \) \(\_\_\_\_\_\_\_\_\_\_\) b. \( f^{-1}(9) = \) \(\_\_\_\_\_\_\_\_\_\_\) c. \( g^{-1}(6) = \) \(\_\_\_\_\_\_\_\_\_\_\) d. \( f^{-1}(g(5)) = \) \(\_\_\_\_\_\_\_\_\_\_\)
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Transcribed Image Text:The table contains some input-output pairs for the functions \( f \) and \( g \). \[ \begin{array}{|c|c|c|} \hline x & f(x) & g(x) \\ \hline 2 & 5 & 5 \\ 3 & 3 & 2 \\ 5 & 2 & 9 \\ 6 & 9 & 3 \\ 9 & 6 & 6 \\ \hline \end{array} \] Evaluate the following expressions. a. \( f(g(6)) = \) \(\_\_\_\_\_\_\_\_\_\_\) b. \( f^{-1}(9) = \) \(\_\_\_\_\_\_\_\_\_\_\) c. \( g^{-1}(6) = \) \(\_\_\_\_\_\_\_\_\_\_\) d. \( f^{-1}(g(5)) = \) \(\_\_\_\_\_\_\_\_\_\_\)
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