What is the domain of f(x)? A) 1 B) x C) y D) y

Question

What is the domain of f(x)?

A) x
B) x
C) -4 ≤ y < 1
D) y

Answer 1

The correct domain of f(x) is represented by option C: -4 ≤ x < 1.

Step-by-step explanation:

The domain of a function represents all possible valid input values (x-values) that can be used within the function without resulting in undefined outputs. In this case, the given options are provided in set notation, specifying the x-values within the domain of f(x).

Upon reviewing the options, option C -4 ≤ x < 1 is the correct representation of the domain of f(x). This notation implies that the function is defined for all x-values between -4 and 1 but not including 1.

The notation -4 ≤ x < 1 signifies that the function can accept input values starting from -4 up to, but not including, 1. Therefore, any value within this range (-4 to 1, excluding 1) can be used as an input for the function f(x) without resulting in an undefined output, defining the domain of the function within this interval. Consequently, option C accurately represents the valid x-values for the domain of f(x).