Question

Select the correct answer.

What is the domain of this function?
f(x) = -1 | 2x + 1| − 1
O A. (-∞, -1]
O B.
[1,00)
O c. (-∞, -1/1
O D.
(-∞, ∞)

Answer 1

To determine the domain of the function f(x) = -1 | 2x + 1| - 1, we need to find the values of x for which the function is defined.

The function involves an absolute value, which means the expression inside the absolute value must be nonnegative.

2x + 1 ≥ 0

Solving this inequality, we get:

2x ≥ -1

x ≥ -1/2

Therefore, the function is defined for all values of x that are greater than or equal to -1/2.

The correct answer is option O D. (-∞, ∞), which represents all real numbers.

Explanation: