[administration]

Which of the following is not a possible value of (x2 + 4x + 5) / (x + 2) for real x?

-3
-2
-1
2

[administration]

(x² + 4x + 5) / (x + 2) = (x2 + 4x +4 + 1) / (x + 2) = [(x+2)² +1]/(x+2) = (X+2) +1/(x+2)

 

Since y + 1/y >=2 or <=-2 for y=/= 0

so (x+2) +1/(x+2)  >=2 or <=-2 for x=/= -2 Hence -1 is the correct answer

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