Answer:
Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, a=-b
Step-by-step explanation:
The domain refers to values for which the expression is defined.
This implies that, the denominators are not equal to zero.
[tex] (\frac{a + b}{b} - \frac{a}{a + b}) \div ( \frac{a + b}{a} - \frac{b}{a + b})[/tex]
[tex] (\frac{(a + b)(a + b)-ab}{b(a + b)})\div(\frac{(a + b)(a + b)-ab}{a(a + b)})[/tex]
[tex] \frac{(a + b)(a + b)-ab}{b(a + b)} \times\frac{a(a + b)}{(a + b)(a + b)-ab}[/tex]
[tex] \implies \frac{a}{b} [/tex]
Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, and a=-b
