Find the Domain (x-5)^4

Problem

ƒ(x)=(x−5)^4

Solution

1. Identify the type of function provided. The expression ƒ(x)=(x−5)^4 is a polynomial function.

2. Determine the constraints for the domain. Polynomials are defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

3. Conclude that the input x can be any real value.

Final Answer

Domain:(−∞,∞)

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