Find the Domain 9(w-4)^2+1=0

Problem

9*(w−4)2+1=0

Solution

1. Identify the type of expression given. The expression 9*(w−4)2+1 is a polynomial expression.

2. Recall the definition of a domain. The domain of a function or expression is the set of all possible input values for which the expression is defined and results in a real number.

3. Analyze the operations involved. The expression involves subtraction, squaring, multiplication, and addition. These operations are defined for all real numbers.

4. Determine if there are any restrictions. There are no denominators containing variables (which could lead to division by zero) and no even roots containing variables (which could lead to imaginary numbers).

5. Conclude that the variable w can be any real number.

Final Answer

Domain: *(−∞,∞)

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