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Math Help - Domain and Range questions on a f(x,y) and f(x,y,z) have answer, need explaining!

  1. #1
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    Domain and Range questions on a f(x,y) and f(x,y,z) have answer, need explaining!

    Fine D and R of the two functions.
    a) f(x,y)=ln(√(1+x2+y2)) the range can't be determined and the domain is R2... why?
    b) f(x,y,z)= 1/√(x2+y2+z2-1) domain is R3-B(0,1) = {(x,y,z)|abs(x,y,z)>1}..why is that the domain? I understand it haveing to be greater than one due to the fact that if it becomes 0 then its DNE
    I don't understand how/why they are answering the problem in the way they do. I have the answer and it says a) definition of domain f=ln o √ o g is R2. and for b) f= h o √ o g is R3-B(0,1) = {(x,y,z)|abs(x,y,z)>1}.

    is there any clarification needed, please ask. could use help on this.
    Thanks!!!!!!
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    Re: Domain and Range questions on a f(x,y) and f(x,y,z) have answer, need explaining!

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