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Use the Table to Estimate the Value Of h(10.5), where h(x)=f(g(x)) and g(10.5)=10.1h^{\prime}(10.5) \text {, where } h(x)=f(g(x)) \text { and } g(10.5)=10.1

Question 68

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Use the table to estimate the value of h(10.5), where h(x)=f(g(x)) and g(10.5)=10.1h^{\prime}(10.5) \text {, where } h(x)=f(g(x)) \text { and } g(10.5)=10.1
x1010.110.210.310.410.510.6f(x)4.55.64.32.59.97.83.3g(x)6.55.94.74.25.46.310\begin{array}{|c|c|c|c|c|c|c|c|}\hline x & 10 & 10.1 & 10.2 & 10.3 & 10.4 & 10.5 & 10.6 \\\hline f^{\prime}(x) &4.5 & & 5.6 & 4.3 & 2.5 & 9.9 & 7.8 \\& & 3.3 & & & & & \\\hline g^{\prime}(x) & 6.5 & 5.9 & 4.7 & 4.2 & 5.4 & & 6.3 \\& & & & & &10 & \\\hline\end{array}

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