Minima & Maxima

PRACTICE
100:00+4 0IPMAT Indore 2019Numeric Answer
For all real values of xx, 3x26x+12x2+2x+4\dfrac{3x^2 - 6x + 12}{x^2 + 2x + 4} lies between 11 and kk, and does not take any value above kk. Then kk equals:
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