Use the following function rule to find [tex]f(3)[/tex]:

[tex]
\begin{array}{l}
f(x)=12-\frac{33}{x} \\
f(3)=
\end{array}
[/tex]



Answer :

To find [tex]\( f(3) \)[/tex] for the given function [tex]\( f(x) = 12 - \frac{33}{x} \)[/tex]:

1. Start with the function rule:
[tex]\[ f(x) = 12 - \frac{33}{x} \][/tex]

2. Substitute [tex]\( x = 3 \)[/tex] into the function:
[tex]\[ f(3) = 12 - \frac{33}{3} \][/tex]

3. Simplify the fraction:
[tex]\[ \frac{33}{3} = 11 \][/tex]

4. Subtract 11 from 12:
[tex]\[ 12 - 11 = 1 \][/tex]

Therefore, [tex]\( f(3) = 1 \)[/tex].

So the value of [tex]\( f(3) \)[/tex] is 1.