Suppose there are two functions [tex]f[/tex] and [tex]g[/tex], whose values are defined by the table below. Calculate [tex]f(Q)[/tex].

[tex]\[
\begin{tabular}{|l|l|l|l|l|l|l|}
\hline
[tex]$x$[/tex] & 1 & 2 & 3 & 4 & [tex]$K$[/tex] & [tex]$Q$[/tex] \\
\hline
[tex]$f(x)$[/tex] & 12 & 3 & 1 & 2 & 4 & 7 \\
\hline
[tex]$g(x)$[/tex] & 11 & 2 & 4 & 1 & 8 & 7 \\
\hline
\end{tabular}
\][/tex]



Answer :

To find the value of \( f(Q) \), let's proceed step-by-step by analyzing the given table.

First, we examine the row labeled \( x \) to locate the position of \( Q \). The elements in the \( x \) row are:
[tex]\[ 1, 2, 3, 4, K, Q \][/tex]

We see that \( Q \) is the 6th element in this row.

Now, we need to find the corresponding value in the row labeled \( f(x) \). The elements in the \( f(x) \) row are:
[tex]\[ 12, 3, 1, 2, 4, 7 \][/tex]

Since \( Q \) is the 6th element in the \( x \) row, we look at the 6th element in the \( f(x) \) row. The 6th element here is:
[tex]\[ 7 \][/tex]

Therefore, [tex]\( f(Q) = 7 \)[/tex].