Question

Select the correct answer.
What is the domain of this function?
f(x) = - 1/4| 2x + 1| -1

Answer 1

The domain of the function f(x) = -​¼|2x + 1| -1 is all real numbers, represented as (-∞, ∞).

Step-by-step explanation:

The domain of the function f(x) = -​¼|2x + 1| -1 is the set of all possible values that x can take such that the function is defined. The absolute value function, |2x + 1|, is defined for all real numbers, and since multiplying by -​¼ and subtracting 1 does not impose any additional restrictions, the domain is all real numbers.

Therefore, the correct answer is that the domain of the function is (-∞, ∞), or in other words, all real numbers.