[tex]\frac{1}{2}+\frac{1}{2x}=\frac{x^2-7x+10}{4x}[/tex]
To rewrite the given expression as a proportion multiply the 1/2 by a fraction that makes it have the same denominator as 1/2x (that fraction is x/x):
[tex]\begin{gathered} \frac{1}{2}*\frac{x}{x}+\frac{1}{2x}=\frac{x^2-7x+10}{4x} \\ \\ \frac{x}{2x}+\frac{1}{2x}=\frac{x^2-7x+10}{4x} \end{gathered}[/tex]
Sum the fractions in the left of the equal:
[tex]\frac{x+1}{2x}=\frac{x^2-7x+10}{4x}[/tex]
Then, the correct answer is third option
