The values of x for which the expression √(|x| + 1) make sense is the set of all real numbers; x ∈ R
The evaluation of the expression used determine the values of x for which the specified expression is defined can be presented as follows;
The specified expression can be presented as follows;
√(|x| + 1)
The above expression is valid when the value of x assumes a positive, negative number value, or zero. However, the expression is not defined as a real number when x is a complex number
The set of positive and negative numbers and zero is the set of all real numbers, therefore, the expression is valid for the set of all real numbers
x ∈ R