(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

3. (a) Let [itex]f(x) = ln(x^2-1)[/itex], and [itex]g(x)=\frac{x}{\sqrt{2-x}}[/tex]

(i) Find the natural domains of [tex]f, g, f + g, \frac{f}{g}, and \frac{g}{f}[/tex]

2. Relevant equations

N/A

3. The attempt at a solution

I know that the natural domain of f(x) is x belongs to real numbers and that x greater than 1 and less than -1 (ln(0) and ln(-ve no.) is undefined). The natural domain of g(x) is that x belongs real numbers and that x cannot be 2.

My question is: what are the rules for manipulation of the domains? Do we simply combine the natural domains, and what about the quotient of 2 natural domains?

Thanks in advance,

Charismaztex

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# Finding the sum and quotient of 2 natural domains

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