The range of g(x) = 4x - 4 is {-12, -4, 4, 12}. What is the domain of the function g(x)? A) All real numbers B) {1, 2, 3, 4, ...} C) x ∈ R D) x ≠ 1

Question

The range of g(x) = 4x - 4 is {-12, -4, 4, 12}. What is the domain of the function g(x)?

A) All real numbers
B) {1, 2, 3, 4, ...}
C) x ∈ R
D) x ∈ R

Answer 1

The domain of the function g(x) = 4x - 4 is all real numbers.

Step-by-step explanation:

The range of a function refers to the set of all possible output values. In this case, the range of g(x) is given as {-12, -4, 4, 12}. To determine the domain of g(x), we need to find the set of all possible input values. Since g(x) is a linear function, its domain is all real numbers. Therefore, the correct answer is A) All real numbers.