Final answer:
If g(x) = √(x - 6), then the domain of g(x) is x ≥ 6.
The answer is option ⇒d
Step-by-step explanation:
The domain of a function refers to the set of all possible input values for the function. In this case, we have the function g(x) = √(x - 6).
To find the domain of g(x), we need to consider the values of x that make the expression inside the square root, x - 6, non-negative. This is because taking the square root of a negative number is not defined in the real number system.
The expression x - 6 is non-negative when x - 6 ≥ 0.
To solve this inequality, we add 6 to both sides of the inequality:
x - 6 + 6 ≥ 0 + 6
This simplifies to:
x ≥ 6
So, the domain of g(x) is x ≥ 6. This means that all real numbers greater than or equal to 6 are valid input values for the function g(x).
Therefore, the correct answer is: d. x ≥ 6
Your question is incomplete, but most probably the full question was:
If g(x) = √(x - 6)
Domain of g(x):
a. All real numbers
b. x > 6
c. x < 6
d. x ≥ 6