Question

Which value of X is in the domain of F(x) = square root of x-14

Answer 1

Answer:

$x \geq 14$

Step-by-step explanation:

The contents of a square root cannot be negative, because no number squared returns a negative value. This means that the domain of a sqrt function can be found by finding all x values for which the contents of the sqrt are not negative. In other words, if given some function f(x) = sqrt(g(x)), then the domain of f(x) is all x for which g(x) >= 0.

In this problem, the content of the sqrt is x - 14. Thus, we'll find all x values for which this expression is not negative.

$x - 14 \geq 0\text{ //}+14\\x - 14 + 14 \geq 0 + 14\text{ // Simplify}\\\boxed{x \geq 14}$