Question

Find the domain of 15 - √(x - 2).
A) x ≥ 2
B) x > 2
C) x ≤ 2
D) x < 2

Answer 1

The domain of the function 15 - √(x - 2) is all real numbers greater than or equal to 2, so the correct answer is A) x ≥ 2.

Step-by-step explanation:

The domain of a function involving a square root, like 15 - √(x - 2), is determined by the condition that the expression under the square root should be greater than or equal to zero, because the square root of a negative number is not a real number. Therefore, for our function, we need x - 2 to be ≥ 0. This simplifies to x ≥ 2.

The correct answer is therefore A) x ≥ 2, which means that the function is defined for all real numbers greater than or equal to 2.