Question

Find the domain of f(x).
f(x)= square root 2x-12

Answer 1

To find the domain of the function f(x) = sqrt(2x-12), we need to ensure that the expression under the square root is non-negative because non-negative numbers are the only valid inputs for the square root function.

So, we must have:
2x - 12 ≥ 0

Let's solve for x:
2x ≥ 12
x ≥ 6

Therefore, the domain of the function f(x) = sqrt(2x-12) is all real numbers x such that x ≥ 6.