What is the domain of the function?

Question

y = √5x - 10

A. x ≥ -2
B. x ≤ -2
C. x ≥ 2
D. x ≤ 2

Answer 1

The function is defined for any real value of x that makes the expression inside the square root non-negative, since the square root of a negative number is not a real number. Therefore, we need to solve the inequality:

5x - 10 ≥ 0

Adding 10 to both sides, we get:

5x ≥ 10

Dividing both sides by 5, we get:

x ≥ 2

So the domain of the function is x ≥ 2, which is option C.