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Find the Domain (ax+b)^2

Problem

(a*x+b)2

Solution

  1. Identify the type of function represented by the expression (a*x+b)2

  2. Recognize that this is a polynomial function, specifically a quadratic function when expanded.

  3. Determine if there are any restrictions on the input variable x such as division by zero or square roots of negative numbers.

  4. Conclude that since there are no denominators or radicals involving x the function is defined for all real numbers.

Final Answer

Domain of *(a*x+b)2=(−∞,∞)


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