Calculus Examples

$f (2) = \frac{x - 3}{x^{2} - 9}$

Step 1

Replace the variable $x$ with $2$ in the expression.

$f (2) = \frac{(2) - 3}{{(2)}^{2} - 9}$

Step 2

Simplify the result.

Tap for more steps...

Step 2.1

Subtract $3$ from $2$ .

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

Step 2.2

Simplify the denominator.

Tap for more steps...

Step 2.2.1

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

$f (2) = \frac{- 1}{4 - 9}$

Step 2.2.2

Subtract $9$ from $4$ .

$f (2) = \frac{- 1}{- 5}$

Step 2.3

Dividing two negative values results in a positive value.

$f (2) = \frac{1}{5}$

Step 2.4

The final answer is $\frac{1}{5}$ .

$\frac{1}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{5}$

Decimal Form:

$0.2$

Step 4