We replace x = -1/2 into the function.
[tex]\begin{gathered} f\mleft(x\mright)=-\frac{2}{3}x+5 \\ f(-\frac{1}{2})=-\frac{2}{3}(-\frac{1}{2})+5 \end{gathered}[/tex]Now, we operate on the right side.
[tex]\begin{gathered} f(-\frac{1}{2})=\frac{2}{3}\cdot\frac{1}{2}+5 \\ f(-\frac{1}{2})=\frac{2\cdot1}{3\cdot2}+5 \\ f(-\frac{1}{2})=\frac{1}{3}+5 \\ f(-\frac{1}{2})=\frac{1}{3}+\frac{15}{3} \\ f(-\frac{1}{2})=\frac{1+15}{3} \\ f(-\frac{1}{2})=\frac{16}{3} \end{gathered}[/tex]Therefore, the result of evaluating the function at the given value is 16/3.
