College Algebra CLEP Prep Practice Exam

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What is the domain of the function f(x) = x - 5?

x < 5
x ≤ 5
x > 5
x ≥ 5

The correct answer is: x ≥ 5

The domain of a function refers to all the possible input values (x) for which the function is defined. In this case, for any value of x that is greater than or equal to 5, the function f(x) = x - 5 will give a valid output. Therefore, the domain of this function is x ≥ 5. Option A, x < 5, is incorrect because it means that any input value of x that is less than 5 is not included in the domain. However, in this function, both positive and negative values of x can be used, as long as they are greater than or equal to 5. Option B, x ≤ 5, is incorrect for the same reason as option A. It restricts the input values to only those that are less than or equal to 5, which does not include all possibilities for this function.