Question

What is the domain of this function?

f(x) = 3/4|x - 3| + 1
A. [1, ∞)
B. (-∞,∞)
C. (-∞, 3/4]
D. (-∞, 3)

Answer 1

B. (-∞,∞)

Explanation:

Function is

`f(x) = (3)/(4)\cdot \left|x-3\right|\:+\:1`

There are no bounds on this function.

x values can range from -∞ to +∞ (but will never reach infinity)

Therefore domain is:
- ∞ < x < ∞

which in interval notation is Option B