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`, `B` and `A+B` are idempotent matrices, then prove that `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(3x-x^2-2)` ?
  
• Range of `e^x/([x]+1)` ,x >0 and where [x] denotes the greatest integer ?
  
• If`(x,y)` is the solution of the following equations `(2x)^log2= (3y)^log3` and `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. ?