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Consider the table shown.

x

f(x)

g(x)

1
2
2

2
3
2

3
5
1

5
6
4

What is the value of
f(g(2))?

Consider the table shown. $\newline$ \begin{tabular}{ccc} $\newline$ $x$ & $f(x)$ & $g(x)$ \\ $\newline$ \hline $1$ & $2$ & $2$ \\ $\newline$ $2$ & $3$ & $2$ \\ $\newline$ $3$ & $5$ & $1$ \\ $\newline$ $5$ & $6$ & $4$ $\newline$ \end{tabular} $\newline$ What is the value of $f(g(2))$ ?

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Outcomes of compound events

Full solution

Q. Consider the table shown.

\newline

\begin{tabular}{ccc}

\newline

x

&

f(x)

&

g(x)

\\

\newline

\hline

1

&

2

&

2

\\

\newline

2

&

3

&

2

\\

\newline

3

&

5

&

1

\\

\newline

5

&

6

&

4

\newline

\end{tabular}

\newline

What is the value of

f(g(2))

?

Find $g(2)$ : Find the value of $g(2)$ from the table. $\newline$ Looking at the table, we see that when $x$ is $2$ , $g(x)$ is $2$ . $\newline$ $g(2) = 2$
Use $g(2)$ for $f(g(2))$ : Use the value from Step $1$ to find $f(g(2))$ . Now we need to find $f(2)$ since $g(2)$ is $2$ . Looking at the table, when $x$ is $2$ , $f(x)$ is $3$ . $f(g(2))$ $0$

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