Find the x and y Intercepts f(x)=(x-1)/(x^3-4x)

$f (x) = \frac{x - 1}{x^{3} - 4 x}$

Step 1

Find the x-intercepts.

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

$0 = \frac{x - 1}{x^{3} - 4 x}$

Solve the equation.

Set the numerator equal to zero.

$x - 1 = 0$

Add $1$ to both sides of the equation.

$x = 1$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$y = \frac{(0) - 1}{{(0)}^{3} - 4 \cdot 0}$

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): $(1, 0)$

y-intercept(s): $None$

Step 4