Find the x and y Intercepts R(x)=(x+8)/(x(x+13))

$R (x) = \frac{x + 8}{x (x + 13)}$

Step 1

Find the x-intercepts.

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

$0 = \frac{x + 8}{x (x + 13)}$

Solve the equation.

Set the numerator equal to zero.

$x + 8 = 0$

Subtract $8$ from both sides of the equation.

$x = - 8$

x-intercept(s) in point form.

x-intercept(s): $(- 8, 0)$

Step 2

Find the y-intercepts.

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

$y = \frac{(0) + 8}{(0) ((0) + 13)}$

The equation has an undefined fraction.

Undefined

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

y-intercept(s): $None$

Step 3

List the intersections.

x-intercept(s): $(- 8, 0)$

y-intercept(s): $None$

Step 4