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Problem 258

For the following exercises, use the function values for \(f\) and \(g\) shown in Table 1.23 to evaluate each expression. $$ \begin{array}{|c|c|c|c|c|c|c|c|c|}\hline x & {0} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {9} \\ \hline f(x) & {7} & {6} & {5} & {8} & {4} & {0} & {2} & {1} & {9} & {3} \\ \hline g(x) & {9} & {5} & {6} & {2} & {1} & {8} & {7} & {3} & {4} & {0} \\ \hline\end{array} $$ $$ f(g(8)) $$

Problem 259

For the following exercises, use the function values for \(f\) and \(g\) shown in Table 1.23 to evaluate each expression. $$ \begin{array}{|c|c|c|c|c|c|c|c|c|}\hline x & {0} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {9} \\ \hline f(x) & {7} & {6} & {5} & {8} & {4} & {0} & {2} & {1} & {9} & {3} \\ \hline g(x) & {9} & {5} & {6} & {2} & {1} & {8} & {7} & {3} & {4} & {0} \\ \hline\end{array} $$ $$ f(g(5)) $$

Problem 260

For the following exercises, use the function values for \(f\) and \(g\) shown in Table 1.23 to evaluate each expression. $$ \begin{array}{|c|c|c|c|c|c|c|c|c|}\hline x & {0} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {9} \\ \hline f(x) & {7} & {6} & {5} & {8} & {4} & {0} & {2} & {1} & {9} & {3} \\ \hline g(x) & {9} & {5} & {6} & {2} & {1} & {8} & {7} & {3} & {4} & {0} \\ \hline\end{array} $$ $$ g(f(5)) $$

Problem 261

For the following exercises, use the function values for \(f\) and \(g\) shown in Table 1.23 to evaluate each expression. $$ \begin{array}{|c|c|c|c|c|c|c|c|c|}\hline x & {0} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {9} \\ \hline f(x) & {7} & {6} & {5} & {8} & {4} & {0} & {2} & {1} & {9} & {3} \\ \hline g(x) & {9} & {5} & {6} & {2} & {1} & {8} & {7} & {3} & {4} & {0} \\ \hline\end{array} $$ $$ g(f(3)) $$

Problem 262

For the following exercises, use the function values for \(f\) and \(g\) shown in Table 1.23 to evaluate each expression. $$ \begin{array}{|c|c|c|c|c|c|c|c|c|}\hline x & {0} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {9} \\ \hline f(x) & {7} & {6} & {5} & {8} & {4} & {0} & {2} & {1} & {9} & {3} \\ \hline g(x) & {9} & {5} & {6} & {2} & {1} & {8} & {7} & {3} & {4} & {0} \\ \hline\end{array} $$ $$ f(f(4)) $$

Problem 263

For the following exercises, use the function values for \(f\) and \(g\) shown in Table 1.23 to evaluate each expression. $$ \begin{array}{|c|c|c|c|c|c|c|c|c|}\hline x & {0} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {9} \\ \hline f(x) & {7} & {6} & {5} & {8} & {4} & {0} & {2} & {1} & {9} & {3} \\ \hline g(x) & {9} & {5} & {6} & {2} & {1} & {8} & {7} & {3} & {4} & {0} \\ \hline\end{array} $$ $$ f(f(1)) $$

Problem 265

For the following exercises, use the function values for \(f\) and \(g\) shown in Table 1.23 to evaluate each expression. $$ \begin{array}{|c|c|c|c|c|c|c|c|c|}\hline x & {0} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {9} \\ \hline f(x) & {7} & {6} & {5} & {8} & {4} & {0} & {2} & {1} & {9} & {3} \\ \hline g(x) & {9} & {5} & {6} & {2} & {1} & {8} & {7} & {3} & {4} & {0} \\ \hline\end{array} $$ $$ g(g(6)) $$

Problem 266

For the following exercises, use the function values for \(f\) and \(g\) shown in Table 1.24 to evaluate the expressions. $$ \begin{array}{|c|c|c|c|c|c|c|c|}\hline x & {-3} & {-2} & {-1} & {0} & {1} & {2} & {3} \\ \hline f(x) & {11} & {9} & {7} & {5} & {3} & {1} & {-1} \\\ \hline g(x) & {-8} & {-3} & {0} & {1} & {0} & {-3} & {-8} \\\ \hline\end{array} $$ $$ (f \circ g)(1) $$

Problem 267

For the following exercises, use the function values for \(f\) and \(g\) shown in Table 1.24 to evaluate the expressions. $$ \begin{array}{|c|c|c|c|c|c|c|c|}\hline x & {-3} & {-2} & {-1} & {0} & {1} & {2} & {3} \\ \hline f(x) & {11} & {9} & {7} & {5} & {3} & {1} & {-1} \\\ \hline g(x) & {-8} & {-3} & {0} & {1} & {0} & {-3} & {-8} \\\ \hline\end{array} $$ $$ (f \circ g)(2) $$

Problem 270

For the following exercises, use the function values for \(f\) and \(g\) shown in Table 1.24 to evaluate the expressions. $$ \begin{array}{|c|c|c|c|c|c|c|c|}\hline x & {-3} & {-2} & {-1} & {0} & {1} & {2} & {3} \\ \hline f(x) & {11} & {9} & {7} & {5} & {3} & {1} & {-1} \\\ \hline g(x) & {-8} & {-3} & {0} & {1} & {0} & {-3} & {-8} \\\ \hline\end{array} $$ $$ (g \circ g)(1) $$

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