Prove that for real values of `x ,(a x^2+3x-4)//(3x-4^2+a)` may have any value provided a lies between 1 and 7.

Prove that for real values of x,(ax^(2)+3x-4)/(3x-4x^(2)+a) may have any value provided a lies between 1 and 7.

For all real values of x if |(x^(2)-3x-1)/(x^(2)+x+1)|<3 limit of x are

Prove that if x=(7+4sqrt(3) then value of x^(2)+(1)/(x^(2)) is 194

show that for any real values of x3-x is not greater than 7/(x+2)

9Prove that the values of the function (sin x cos3x)/(sin3x cos x) cannot lie between (1)/(3) and 3 for any real x

For any real value of x the maximum value of 8x - 3x^2 is

Find the value of x 2x+1=5 3x+4=7+2x