Questions asked by sara

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Domain of sqrt( ln{x}-ln[x])?
Let f:Rise defined from R to R . find the solution of f(x) =f^-1 (x)?
If $A$ $A$ , $B$ $B$ and $A + B$ $A+B$ are idempotent matrices, then prove that $A B + B A = 0$ $AB+BA=0$ ?
Range of a function f(x)=cos(k sin x)is [-1,1] then the least positive integral value of k will be?
Range of ${log}_{0.5} (3 x - x^{2} - 2)$ $log_0.5(3x-x^2-2)$ ?
Range of $\frac{e^{x}}{[x] + 1}$ $e^x/([x]+1)$ ,x >0 and where [x] denotes the greatest integer ?
If $(x, y)$ $(x,y)$ is the solution of the following equations ${(2 x)}^{log 2} = {(3 y)}^{log 3}$ $(2x)^log2= (3y)^log3$ and $3^{log x} = 2^{log y}$ $3^logx = 2^logy$ then x is equal to?
What is value of lim x tends to 0 [log (5+x) -log(5-x)]/ x. ?