# How do you find the domain of f(x) = -4sqrtx?

Apr 15, 2018

$x \ge 0 , \left[0 , \infty\right)$

#### Explanation:

The domain consists of the values of $x$ for which the function $f \left(x\right)$ exists.

For $f \left(x\right) = - 4 \sqrt{x} ,$ recall that we need to avoid negative square roots, IE, we can only plug in numbers greater than or equal to zero.

The domain is therefore

$x \ge 0 , \left[0 , \infty\right)$