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

$f (3) = 4.5$

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 ： $f (3) = 4.5$