find domain
1 - a+b/a-b
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.
To find the domain of the expression 1 - (a + b)/(a - b), we need to consider any values of a and b that would result in the expression being undefined.
The expression is undefined when the denominator (a - b) is equal to zero because division by zero is undefined.
So we need to solve the equation (a - b) = 0 to find the values of a and b that would make the expression undefined.
Solving (a - b) = 0, we find that a = b.
Therefore, the domain of the expression 1 - (a + b)/(a - b) is all real numbers except when a is equal to b.