Evaluate f(x)=(1/2)^-2

$f (x) = {(\frac{1}{2})}^{- 2}$

Simplify ${(\frac{1}{2})}^{- 2}$ .

Change the sign of the exponent by rewriting the base as its reciprocal.

$f (x) = 2^{2}$

Raise $2$ to the power of $2$ .

$f (x) = 4$

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

$0 = 4 - f (x)$

Rewrite the equation as $4 - f (x) = 0$ .

$4 - f (x) = 0$