Could u solve the question for me i am stuck.The range of the function f:R->R,f(x)=((x^2+1)^0.5 -3x)/(x^2+1)^0.5 +xPlease after solving the question mail me the solution at dishankbhan@gmail.com. And i wanted to know if i cant do questions does that mean i cannot crack jee?

Dear Dishank

the expression reduces to

1+x-3*x/(x²+1)^0.5

since x is present in the expression ...it can take all the values except when the expression x/(x²+1)^0.5 becomes inteterminant.

But Domain of this is all real values.  i.e. it gives real value for a input real value.........

So range is also R.....

One request i want to make to u is --- not request us to post solution on your email-id.

Don't get panic when u are not able to solve a problem.....

In math...u have to just try hard to crack  the question.TRY urself evey question for 10-15 min.Only then refer to solution.Then mark those questions for later revisions.

Also note that range of x/(x²+1)^0.5 is from -1 to 1...

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All the best Dishank !!!




Regards,

Askiitians Experts

Sahil Arora