Evaluate f(x) = square root of 0

$f (x) = \sqrt{0}$

Simplify $\sqrt{0}$ .

Rewrite $0$ as $0^{2}$ .

$f (x) = \sqrt{0^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$f (x) = 0$

Subtract $f (x)$ from both sides of the equation.

$0 = - f (x)$

Rewrite the equation as $- f (x) = 0$ .

$- f (x) = 0$