en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

f(x)=(x^3+9x)/(3x^2-6x-9)

Solution

f (x) = \frac{x ^{3} + 9 x}{3 x ^{2} - 6 x - 9}

Solution

Domain : x < - 1 or - 1 < x < 3 or x > 3

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - 1, x = 3, Slant y = \frac{1}{3} x + \frac{2}{3}

Extreme Points : Maximum (- 3, - \frac{3}{2}), Minimum (6.75310 \dots, 4.22419 \dots)

+1

Interval Notation

Domain : (- \infty, - 1) \cup (- 1, 3) \cup (3, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3} + 9 x}{3 x ^{2} - 6 x - 9} : x < - 1 or - 1 < x < 3 or x > 3

Range of

\frac{x ^{3} + 9 x}{3 x ^{2} - 6 x - 9} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{3} + 9 x}{3 x ^{2} - 6 x - 9} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{3} + 9 x}{3 x ^{2} - 6 x - 9} :

Vertical

: x = - 1, x = 3,

Slant

: y = \frac{1}{3} x + \frac{2}{3}

Extreme Points of

\frac{x ^{3} + 9 x}{3 x ^{2} - 6 x - 9} :

Maximum

(- 3, - \frac{3}{2}),

Minimum

(6.75310 \dots, 4.22419 \dots)

Graph

Popular Examples

y=sqrt(2-x^2),0<= x<= 1

f(x)=(csc^2(x)-cot^2(x))/(sin(x))

f(x)=sqrt(x^2-4x+4)

y=(-2x^2)/(x^2-9)

Frequently Asked Questions (FAQ)

What is the f(x)=(x^3+9x)/(3x^2-6x-9) ?
The f(x)=(x^3+9x)/(3x^2-6x-9) is