find the value of x for which
`f(x) = ((2x-1)(x-1)^(2)(x-2)^(2))/((x-4)^(2))ge 0.`

Find the value of x for which f(x) = ((x-2)^(2)(1-x)(x-3)^(2)(x-4)^(2))/((x-1))le 0.

(4x)/(x^(2) +3)ge 1.

solve f(x) = ((x-1)(2-x))/((x-3))ge 0.

Find the maximum value of f (X) = 2x^2 - x +1

find the range of values of t for which 2sint=(1-2x+5x^2)/(3x^2-2x-1)

Find the range of values of t for which 2sint=(1-2x+5x^2)/(3x^2-2x-1)

Find the value of 'k', for which: f(x) = {:{(sqrt(1+kx)-sqrt(1-kx))/x, if -1lex<0),((2x+1)/(x-1), if 0lex<1):} is continuous at x=0

Find the range of the function f(x)=cot^(-1)(log)_(0. 5)(x^4-2x^2+3)

Find the value of x for which det A vanishes, where A = [(x+1, -1,0),(2,x+4,0),(0,0,x)]