The expression is given to be:
[tex]\frac{x²\:+\:1}{x²\:-\:3x\:+\:2}[/tex]At x = 3, we can substitute 3 for x into the expression and solve:
[tex]\Rightarrow\frac{3^2+1}{3^2-3\cdot\:3+2}[/tex]Therefore, we can solve to be:
[tex]\Rightarrow\frac{9+1}{9-9+2}=\frac{10}{2}=5[/tex]The answer is 5.
