Find the x and y Intercepts f(x)=((x+1)(x-1))/(x+2)

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

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = \frac{(x + 1) (x - 1)}{x + 2}$

Solve the equation.

Set the numerator equal to zero.

$(x + 1) (x - 1) = 0$

Solve the equation for $x$ .

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x + 1 = 0$

$x - 1 = 0$

Set $x + 1$ equal to $0$ and solve for $x$ .

Set $x + 1$ equal to $0$ .

$x + 1 = 0$

Subtract $1$ from both sides of the equation.

$x = - 1$

Set $x - 1$ equal to $0$ and solve for $x$ .

Set $x - 1$ equal to $0$ .

$x - 1 = 0$

Add $1$ to both sides of the equation.

$x = 1$

The final solution is all the values that make $(x + 1) (x - 1) = 0$ true.

$x = - 1, 1$

x-intercept(s) in point form.

x-intercept(s): $(- 1, 0), (1, 0)$

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = \frac{((0) + 1) ((0) - 1)}{(0) + 2}$

Solve the equation.

Remove parentheses.

$y = \frac{(0 + 1) ((0) - 1)}{(0) + 2}$

Remove parentheses.

$y = \frac{(0 + 1) (0 - 1)}{(0) + 2}$

Remove parentheses.

$y = \frac{(0 + 1) (0 - 1)}{0 + 2}$

Remove parentheses.

$y = \frac{((0) + 1) ((0) - 1)}{(0) + 2}$

Simplify $\frac{((0) + 1) ((0) - 1)}{(0) + 2}$ .

Simplify the numerator.

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

$y = \frac{(- 1 (0) + 1) (0 - 1)}{0 + 2}$

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

$y = \frac{(- 1 \cdot 0 - 1 \cdot - 1) (0 - 1)}{0 + 2}$

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

$y = \frac{- 1 \cdot (0 - 1) (0 - 1)}{0 + 2}$

Raise $0 - 1$ to the power of $1$ .

$y = \frac{- 1 \cdot ({(0 - 1)}^{1} (0 - 1))}{0 + 2}$

Raise $0 - 1$ to the power of $1$ .

$y = \frac{- 1 \cdot ({(0 - 1)}^{1} {(0 - 1)}^{1})}{0 + 2}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = \frac{- 1 \cdot {(0 - 1)}^{1 + 1}}{0 + 2}$

Add $1$ and $1$ .

$y = \frac{- 1 \cdot {(0 - 1)}^{2}}{0 + 2}$

Add $0$ and $2$ .

$y = \frac{- 1 \cdot {(0 - 1)}^{2}}{2}$

Simplify the numerator.

Subtract $1$ from $0$ .

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

Raise $- 1$ to the power of $2$ .

$y = \frac{- 1 \cdot 1}{2}$

Simplify the expression.

Multiply $- 1$ by $1$ .

$y = \frac{- 1}{2}$

Move the negative in front of the fraction.

$y = - \frac{1}{2}$

y-intercept(s) in point form.

y-intercept(s): $(0, - \frac{1}{2})$

List the intersections.

x-intercept(s): $(- 1, 0), (1, 0)$

y-intercept(s): $(0, - \frac{1}{2})$

Find the x and y Intercepts f(x)=((x+1)(x-1))/(x+2)

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