Find the Domain (6x)^2

Problem

(6*x)2

Solution

1. Identify the type of function. The expression ƒ(x)=(6*x)2 is a polynomial function, specifically a quadratic function.

2. Analyze the operations involved. The expression involves multiplication and squaring. Both of these operations are defined for all real numbers.

3. Check for restrictions. There are no denominators that could be zero and no even-indexed roots (like square roots) of negative numbers.

4. Determine the set of all possible input values. Since there are no restrictions, the variable x can be any real number.

Final Answer

Domain:(−∞,∞)

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