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+1)/(x^2-1)

Solution

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

Solution

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

Range : f (x) \leq - 1 or f (x) > 3

Y Intercepts : (0, - 1)

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

Extreme Points : Maximum (0, - 1)

+1

Interval Notation

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

Solution steps

Domain of

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

Range of

\frac{3 x ^{2} + 1}{x ^{2} - 1} : f (x) \leq - 1 or f (x) > 3

Axis interception points of

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

Y Intercepts

: (0, - 1)

Asymptotes of

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

Vertical

: x = - 1, x = 1,

Horizontal

: y = 3

Extreme Points of

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

Maximum

(0, - 1)

Graph

Popular Examples

f(n)=\sqrt[2n]{\sqrt[n]{3n^2}}

f (n) = 2 n n 3 n^{2}

f(x)=(3tan(x)+2sec(x))/(2tan(x)+3sec(x))

f (x) = \frac{3 tan ( x ) + 2 sec ( x )}{2 tan ( x ) + 3 sec ( x )}

f(x)=log_{4/5}(x)

f (x) = lo g_{\frac{4}{5}} (x)

f (x) = sinh (6 x)

f(x)=2log_{10}(x+2)+1

f (x) = 2 lo g_{10} (x + 2) + 1

Frequently Asked Questions (FAQ)

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