Question

The functions $f$ and $g$ are defined by the following tables. Use the tables to evaluate the given composite function. $f^{-1}(g(8))$ $f^{-1}(g(8)) = \text{_____}$ \begin{tabular}{|c|c|} \hline x & f(x) \\ \hline -3 & 1 \\ 0 & 4 \\ 1 & 5 \\ 3 & -2 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline x & g(x) \\ \hline -5 & -6 \\ 1 & -3 \\ 5 & 2 \\ 8 & -2 \\ \hline \end{tabular}

Name: the functions f and g are defined by the following tables use the tables to evaluate the given composite function f 1g8 f 1g8 text begintabularcc hline x fx hline 3 1 0 4 1 5 3 2 hline 25577
Uploaded: 2020-06-10T15:49:17-08:00
Duration: 1 min 23 s
Channel: Carl David Cepeda
Description: the functions f and g are defined by the following tables use the tables to evaluate the given composite function f 1g8 f 1g8 text begintabularcc hline x fx hline 3 1 0 4 1 5 3 2 hline 25577

          The functions $f$ and $g$ are defined by the following tables. Use the tables to evaluate the given composite function.
$f^{-1}(g(8))$
$f^{-1}(g(8)) = \text{_____}$
\begin{tabular}{|c|c|}
\hline
x & f(x) \\
\hline
-3 & 1 \\
0 & 4 \\
1 & 5 \\
3 & -2 \\
\hline
\end{tabular}
\begin{tabular}{|c|c|}
\hline
x & g(x) \\
\hline
-5 & -6 \\
1 & -3 \\
5 & 2 \\
8 & -2 \\
\hline
\end{tabular}

the functions f and g are defined by the following tables use the tables to evaluate the given composite function f 1g8 f 1g8 text begintabularcc hline x fx hline 3 1 0 4 1 5 3 2 hline 25577

Added by James M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Carl David Cepeda

06/10/2020

Step 1

Step 1: From the table, we find that $g(8) = -2$. Show more…

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The functions $f$ and $g$ are defined by the following tables. Use the tables to evaluate the given composite function. $f^{-1}(g(8))$ $f^{-1}(g(8)) = \text{_____}$ \begin{tabular}{|c|c|} \hline x & f(x) \\ \hline -3 & 1 \\ 0 & 4 \\ 1 & 5 \\ 3 & -2 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline x & g(x) \\ \hline -5 & -6 \\ 1 & -3 \\ 5 & 2 \\ 8 & -2 \\ \hline \end{tabular}