Calculus Examples

$f (0) = \frac{1}{x^{2} - 9}$

Step 1

Replace the variable $x$ with $0$ in the expression.

$f (0) = \frac{1}{{(0)}^{2} - 9}$

Step 2

Simplify the result.

Tap for more steps...

Step 2.1

Simplify the denominator.

Tap for more steps...

Step 2.1.1

Raising $0$ to any positive power yields $0$ .

$f (0) = \frac{1}{0 - 9}$

Step 2.1.2

Subtract $9$ from $0$ .

$f (0) = \frac{1}{- 9}$

Step 2.2

Move the negative in front of the fraction.

$f (0) = - \frac{1}{9}$

Step 2.3

The final answer is $- \frac{1}{9}$ .

$- \frac{1}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{9}$

Decimal Form:

$- 0.\overline{1}$

Step 4