If x is real, show that the expression `(4x^2+36 x+9)/(12 x^2+8x+1)` can have any real value .

Find the interval in which .'m' lies so that the expression (mx^(2) + 3x-4)/(-4x^(2)+3 x + m) can take all real values, x in R .

Show that the expression (x^2-3x+4)/(x^2+3x+4) lies between 1/7 and 7 for real values of x.

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

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

If x is real, the expression (x+2)/(2x^2 + 3x+6) takes all value in the interval

If x is real, then the minimum value of the expression x^2-8x+17 is

If x is real, then the minimum value of the expression x^2-8x+17 is

If 'x' is real, then greatest value of the expression, (x+2)/(2x^(2)+3x +6) is :

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.

Find the values of a for which the expression (ax^2+3x-4)/(3x-4x^2+a) assumes all real values for all real values of x