2530.11 – Defined Operation; Find Formula

If $4 \rightarrow 3, 10 \rightarrow 6$ , and $7 \rightarrow 4.5$ , then what is the formula for $x \rightarrow \ ?$

Solution

$4 \rightarrow 3=\dfrac{4+2}{2}$

$10 \rightarrow 6=\dfrac{10+2}{2}$

$7 \rightarrow 4.5=\dfrac{7+2}{2}$

$x \rightarrow \dfrac{x+2}{2} = \dfrac{x}{2}+1$