Question

Determine an expression for the domain.
a) ℝ - {0}
b) ℝ
c) ℝ - {5}
d) ℝ - {0, 5}

Answer 1

The domain of each expression is the set of all real numbers except for the specified values.

Step-by-step explanation:

The domain of a function refers to the set of all possible input values for the function. To determine the domain for the given expressions, we should consider any restrictions on the input. Let's analyze each option:

1. The expression ℝ - {0} means that all real numbers except 0 are allowed. So, the domain for this expression is all real numbers except 0.

2. The expression ℝ indicates that all real numbers are allowed. Therefore, the domain for this expression is all real numbers.

3. The expression ℝ - {5} means that all real numbers except 5 are allowed. Thus, the domain for this expression is all real numbers except 5.

4. The expression ℝ - {0, 5} means that all real numbers except 0 and 5 are allowed. Hence, the domain for this expression is all real numbers except 0 and 5.