Calculus Examples

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

Step 1

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

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

Step 2

Simplify the result.

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Step 2.1

Cancel the common factor of $(0) + 1$ and $(0) - 1$ .

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Step 2.1.1

Rewrite $0$ as $- 1 (0)$ .

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

Step 2.1.2

Rewrite $1$ as $- 1 (- 1)$ .

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

Step 2.1.3

Factor $- 1$ out of $- 1 \cdot 0 - 1 \cdot - 1$ .

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

Step 2.1.4

Cancel the common factor.

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

Step 2.1.5

Divide $- 1$ by $1$ .

$f (0) = - 1$

Step 2.2

The final answer is $- 1$ .

$- 1$

Step 3