Q. Consider the table snown.\begin{tabular}{ccc}x & f(x) & g(x) \\\hline 1 & 2 & 2 \\2 & 3 & 2 \\3 & 5 & 1 \\5 & 6 & 4\end{tabular}What is the value of f(g(2)) ?
Find g(2): First, we need to find the value of g(2) from the table.Looking at the table, we see that when x is 2, g(x) is 2.So, g(2)=2.
Find f(g(2)): Next, we need to find the value of f(g(2)). Since we found that g(2)=2, we need to find f(2).Looking at the table, we see that when x is 2, f(x) is 3.So, f(g(2))=f(2)=3.
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