Find the Domain f(x)=(x-1)(x+4)(x-5)

Problem

ƒ(x)=(x−1)*(x+4)*(x−5)

Solution

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

2. Determine potential restrictions. Polynomials do not contain variables in denominators, under even-indexed radicals, or within logarithms.

3. Conclude the domain. Since there are no values of x that would make the expression undefined, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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