For what values (cases) of the variables the expression does not exist: b/a+b

Question

Mathematics

Darian Hudson

6 September, 04:45

For what values (cases) of the variables the expression does not exist: b/a+b

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Answers (1)

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Melvin Dominguez · Answer 1

The expression b / (a + b) does not exist when a = - b or b = - a

Step-by-step explanation:

The expression b / (a + b) does not exist if the denominator a + b = 0.

So, a = - b or b = - a.

So, the expression b / (a + b) does not exist when a = - b or b = - a.

When a = - b values, the denominator a + b = - b + b = 0. This will make the expression b / (a + b) = b/0 = ∞ which undefined or does not exist.

When b = - a values, the denominator a + b = a + (-a) = a - a = 0. This will make the expression b / (a + b) = - a/0 = - ∞ which undefined or does not exist.

So the expression b / (a + b) does not exist when a = - b or b = - a