find domain

1 - a+b/a-b

3 answers

The domain of the given expression, 1 - (a+b) / (a-b), is all real numbers except for values of a that make the denominator equal to zero (a-b ≠ 0). So, the domain is all real numbers except for a ≠ b.
find domain a+b - (a^2+b^2)/(a+b)
To find the domain of the expression (a+b) - (a^2+b^2)/(a+b), we need to consider any restrictions on the variables.

The denominator of the expression is (a+b), which means that the expression is undefined when (a+b) = 0. Therefore, the domain is all real numbers except for values of a and b that make the denominator equal to zero.

Set (a+b) = 0:
a + b = 0
b = -a

So, the domain of the expression is all real numbers except for a and b such that b = -a. Thus, the domain is any real numbers except for values where b is the negation of a.