Answer:
The value of given expression at x=-2 is -7.
Step-by-step explanation:
The given expression is
[tex]\frac{2x^2+5x+9}{x^2+2x-1}[/tex]
Substitute x=-2 in the above expression.
[tex]\frac{2(-2)^2+5(-2)+9}{(-2)^2+2(-2)-1}[/tex]
Solve the squares and brackets.
[tex]\frac{2(4)-10+9}{4-4-1}[/tex]
[tex]\frac{8-1}{-1}[/tex]
[tex]\frac{7}{-1}[/tex]
[tex]-7[/tex]
Therefore the value of given expression at x=-2 is -7.
