Evaluate f(x)=(1/3)^-2

$f (x) = {(\frac{1}{3})}^{- 2}$

Step 1

Simplify ${(\frac{1}{3})}^{- 2}$ .

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

$f (x) = 3^{2}$

Raise $3$ to the power of $2$ .

$f (x) = 9$

Step 2

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

$0 = 9 - f (x)$

Step 3

Rewrite the equation as $9 - f (x) = 0$ .

$9 - f (x) = 0$