Select the correct answer. What is the domain of f(x) = 2|x − 1| + 3? A. x ≥ 3 B. x C. x D. x = all real numbers

Question

Select the correct answer.

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

A.
x ≥ 3
B.
x < 1
C.
x ≤ -1
D.
x

Answer 1

The answer is x

Explanation:

Answer 2

D.

x = all real numbers

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}\\`