If x be real, prove that the value of `(11x^(2)+12x+6)/(x^(2)+4x+2)` cannot lie between -5 and 3.

If x be real, prove that the value of (2x^(2)-2x+4)/(x^(2)-4x+3) cannot lie between -7 and 1.

If x is real, prove that the value of the expression ((x-1)(x+3))/((x-2)(x+4)) cannot be between (4)/(9) and 1.

If x is real , then the minimum value of (x^(2)-3x+4)/(x^(2)+3x+4) is :

If x be real, find the maximum value of ((x+2))/(2x^(2)+3x+6) .

If x is real then the values of (x^(2) + 34 x - 71)/(x^(2) + 2x - 7) does not lie in the interval

If x is real, then the value of the expression (x^2+14x+9)/(x^2+2x+3) lies between (a) 5 and 4 (b) 5 and -4 (c) -5 and 4 (d) none of these

For real values of x, the value of expression (11x^2-12x-6)/(x^2+4x+2)

If x is real, then the value of the expression (x^2+14 x+9)/(x^2+2x+3) lies between

Prove that (6x^(2)-22x+21)/(5x^(2)-18x +17) for real values of x lies between 1 and (5)/(4) .

If (x+1)^(2) =x , the value of 11x^(3) + 8x^(2) + 8x -2 is: