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^2-1)/(x^2+1))

Solution

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

Solution

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

Range : 0 \leq f (x) < 1

X Intercepts : (1, 0), (- 1, 0)

Asymptotes : Horizontal y = 1

Extreme Points : Minimum (- 1, 0), Minimum (1, 0)

+1

Interval Notation

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

Range : [0, 1)

Solution steps

Domain of

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

Range of

\frac{x ^{2} - 1}{x ^{2} + 1} : 0 \leq f (x) < 1

Axis interception points of

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

X Intercepts

: (1, 0), (- 1, 0)

Asymptotes of

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

Horizontal

: y = 1

Extreme Points of

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

Minimum

(- 1, 0),

Minimum

(1, 0)

Popular Examples

derivative of (4x/(9y))

\frac{d}{d x} (\frac{4 x}{9 y})

derivative of-7(3x^4+2^{-4})

\frac{d}{d x} (- 7 (3 x^{4} + 2)^{- 4})

derivative of 2/(x^2+5)

\frac{d}{d x} (\frac{2}{x ^{2} + 5})

limit as x approaches 5 of (x+1)/(x-5)

x \to 5 lim (\frac{x + 1}{x - 5})

slope of (x^2-8)^4,\at x=3 slope

(x^{2} - 8)^{4}, at x = 3

Frequently Asked Questions (FAQ)

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