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June 3rd, 2011, 03:37 AM  #1 
Newbie Joined: Apr 2011 Posts: 15 Thanks: 0  find the largest possible domain for the function f
f:x square root of pi/4arcos x sorry if i could not write hope you understand the function 
June 3rd, 2011, 04:23 AM  #2 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: find the largest possible domain for the function f
Use parentheses! is the problem (sqrt(pi))/(4 arccos(x)) or is it sqrt( pi/(4 arccos(x))? Those are very different functions with different domains.

June 3rd, 2011, 04:39 AM  #3 
Newbie Joined: Apr 2011 Posts: 15 Thanks: 0  Re: find the largest possible domain for the function f
sqrt root of this ((pi/4)arctang X)

June 3rd, 2011, 04:40 AM  #4 
Newbie Joined: Apr 2011 Posts: 15 Thanks: 0  Re: find the largest possible domain for the function f
sorry...arccos of x

June 3rd, 2011, 09:55 AM  #5 
Newbie Joined: Jun 2011 Posts: 3 Thanks: 0  Re: find the largest possible domain for the function f
Hi, For plain vanilla arcos() the domain runs from 1 to 1, while the range goes from 0 to pi. When you draw of graph of arcos, you will find the the maximal domain for the composite function runs from x = 1 / sqrt(2) to x = 1. The reason that the rest is not available is that what goes under the root must be nonnegative. Bye now, Jan 

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