The functions $f$ and $g$ are such that
\[
\begin{array}{l}
f(x)=\frac{1}{2} x+3 \\
g(x)=\frac{14}{2 x-3}
\end{array}
\]
What is $f(3)$ ?

Answer

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Answer

$\boxed{f(3)=4.5}$

Steps

Step 1 ：Substitute $x=3$ into the function $f(x)=\frac{1}{2}x+3$: \[f(3)=\frac{1}{2}(3)+3\]

Step 2 ：Simplify the expression: \[f(3)=\frac{3}{2}+3\]

Step 3 ：Convert the mixed number to an improper fraction: \[f(3)=\frac{3}{2}+\frac{6}{2}\]

Step 4 ：Add the fractions: \[f(3)=\frac{9}{2}\]

Step 5 ：Convert the improper fraction to a decimal: \[f(3)=4.5\]

Step 6 ：$\boxed{f(3)=4.5}$