I think i successfuly calculated domain but the problem is i dont know how to draw it. Confusing part is with arccos because you have 2 options because of fraction.
Need to draw domain of $f(x,y) = \ln(\frac xy) + \sqrt {\arccos {\frac {x-3y}{x+y}}}$
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0Add your results to the questions, i. e. write down the calculated domain. – 2017-01-08
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0@martini ok will do, give me a sec please. – 2017-01-08
1 Answers
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Hint
Set $u=\frac xy$, we have $$z=\ln u+\sqrt{\arccos\left(\frac{u-3}{u+1}\right)}.$$ We have $$u>0$$ and $$\left | \frac{u-3}{u+1}\right|\le 1$$
Also $$\arccos\left(\frac{u-3}{u+1}\right)\ge 0$$