Find the x and y Intercepts f(x)=3/(X+4)

$f (x) = \frac{3}{X + 4}$

Step 1

Find the x-intercepts.

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

$0 = \frac{3}{x + 4}$

Solve the equation.

Set the numerator equal to zero.

$3 = 0$

Since $3 \neq 0$ , there are no solutions.

No solution

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

x-intercept(s): $None$

Step 2

Find the y-intercepts.

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

$y = \frac{3}{(0) + 4}$

Solve the equation.

Remove parentheses.

$y = \frac{3}{0 + 4}$

Remove parentheses.

$y = \frac{3}{(0) + 4}$

Add $0$ and $4$ .

$y = \frac{3}{4}$

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{3}{4})$

Step 3

List the intersections.

x-intercept(s): $None$

y-intercept(s): $(0, \frac{3}{4})$

Step 4