en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=sqrt((x^2-4)/(x^2-1))

Solution

f (x) = \frac{x ^{2} - 4}{x ^{2} - 1}

Solution

Domain : x \leq - 2 or - 1 < x < 1 or x \geq 2

X Intercepts : (2, 0), (- 2, 0), Y Intercepts : (0, 2)

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

Extreme Points : Minimum (- 2, 0), Minimum (2, 0)

+1

Interval Notation

Domain : (- \infty, - 2] \cup (- 1, 1) \cup [2, \infty)

Solution steps

Domain of

\frac{x ^{2} - 4}{x ^{2} - 1} : x \leq - 2 or - 1 < x < 1 or x \geq 2

Axis interception points of

\frac{x ^{2} - 4}{x ^{2} - 1} :

X Intercepts

: (2, 0), (- 2, 0),

Y Intercepts

: (0, 2)

Asymptotes of

\frac{x ^{2} - 4}{x ^{2} - 1} :

Vertical

: x = - 1, x = 1,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} - 4}{x ^{2} - 1} :

Minimum

(- 2, 0),

Minimum

(2, 0)

Graph

Popular Examples

f(x)=sin(5x)+2x^2-3x+4

f (x) = sin (5 x) + 2 x^{2} - 3 x + 4

f(x)=x*e^{-x^2}

f (x) = x \cdot e^{- x^{2}}

f(x)=(x+4)/(x+1)

f (x) = \frac{x + 4}{x + 1}

y=sqrt(x^2-5x-6)

y = x^{2} - 5 x - 6

f(t)=t^3-15t^2+72t+8

f (t) = t^{3} - 15 t^{2} + 72 t + 8

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt((x^2-4)/(x^2-1)) ?
The f(x)=sqrt((x^2-4)/(x^2-1)) is