If `x` is real, prove that `((x- 2)(x- 4))/((x-1)(x-3))` can have any real value.

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

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

If x is real then (x^(2)-x+c)/(x^(2)+x+2c) can take all real values if

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

If x in R then (x^(2)+2x+a)/(x^(2)+4x+3a) can take all real values if

If x in R then (x^(2)+2x+a)/(x^(2)+4x+3a) can take all real values if

Does the equation [(x-2)^(2)+4]*[x+(1)/(x)]=81 have any real solution ?

If x is real and (x^(2)+2x+c)/(x^(2)+4x+3c) can take all real values,of then show that 0<=c<=1