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

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

If f(x)=((x-1)^3(x+2)^4(x-3)^5(x+6))/(x^2(x-7)^3) , Solve the following inequality f >= 0

Solve (x+3)^(2)-(x-1)^(2)ge244 .

range of f(x)=e^(x)/([x]+1),x ge 0

Solve : (|x|-1)/(|x|-2) ge 0, x ne pm 2

Suppose f(x)=(x+1)^(2) " for " x ge -1. If g(x) is the function whose graph is the reflection of the graph of f(x) with respect to the line y = x, then g(x) equals a. 1-sqrt(x)-1, x ge 0 b. 1/((x+1)^(2)), x gt -1 c. sqrt(x+1), x ge -1 d. sqrt(x)-1, x ge 0

Solve the inequalities given below for real x :- ((2x-1))/3ge((3x-2))/4-((2-x))/5

Let f(x) =1+2sin(e^x/(e^x+1)) x ge 0 then f^(-1)(x) is equal to (assuming f is bijectve)

If f(x) ={(kx^2),(3):}, ((x <3),(x ge3)) and f is continuous at x = 3 then value of k is :