(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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Finding the sum and quotient of 2 natural domains

**Physics Forums | Science Articles, Homework Help, Discussion**