Question

Select the correct answer.
What is the domain of f(x) = 2|x − 1| + 3?

A.
{x | x ≥ 3}
B.
{x | x < 1}
C.
{x | x ≤ -1}
D.
{x | x = all real numbers}

Answer 1

Answer:

D.

{x | x = all real numbers}

Step-by-step explanation:

The domain of a function is the set of input or argument values for which the function is real and defined.

The function has no undefined points nor domain constraints. Therefore, the domain is

$-\infty \:<x<\infty \:$

$\mathrm{Domain\:of\:}\:2\left|x-1\right|+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}$

Answer 2

Answer:

The answer is {x | x = all real numbers}

Step-by-step explanation: