en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(-3x^2-x+3)/(x^2-1)

Solution

f (x) = \frac{- 3 x ^{2} - x + 3}{x ^{2} - 1}

Solution

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

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

X Intercepts : (- \frac{1 + 37}{6}, 0), (\frac{37 - 1}{6}, 0), Y Intercepts : (0, - 3)

Asymptotes : Vertical x = - 1, x = 1, Horizontal y = - 3

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{- 3 x ^{2} - x + 3}{x ^{2} - 1} : - \infty < f (x) < \infty

Axis interception points of

\frac{- 3 x ^{2} - x + 3}{x ^{2} - 1} :

X Intercepts

: (- \frac{1 + 37}{6}, 0), (\frac{37 - 1}{6}, 0),

Y Intercepts

: (0, - 3)

Asymptotes of

\frac{- 3 x ^{2} - x + 3}{x ^{2} - 1} :

Vertical

: x = - 1, x = 1,

Horizontal

: y = - 3

Extreme Points of

\frac{- 3 x ^{2} - x + 3}{x ^{2} - 1} :

None

Popular Examples

f (x) = e^{\frac{x}{4}}

f (x) = 2 x^{2} + 3 x - 8

f(x)=sqrt(x+4)-\sqrt[4]{2-x}

y = \frac{5}{4} x - 3

y = \frac{5}{4} x - 7

Frequently Asked Questions (FAQ)

What is the f(x)=(-3x^2-x+3)/(x^2-1) ?
The f(x)=(-3x^2-x+3)/(x^2-1) is