en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

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

Solution

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

Solution

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

Range : - 1 < f (x) < 1

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

Asymptotes : Horizontal x = 1, x = - 1

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

+1

Interval Notation

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

Range : (- 1, 1)

Solution steps

Domain of

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

Range of

\frac{y ^{2} - 1}{y} : - 1 < f (x) < 1

Axis interception points of

\frac{y ^{2} - 1}{y} :

X Intercepts

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

Asymptotes of

\frac{y ^{2} - 1}{y} :

Horizontal

: x = 1, x = - 1

Extreme Points of

\frac{y ^{2} - 1}{y} :

Maximum

(- 1, 0),

Minimum

(1, 0)

Graph

Popular Examples

extreme f(x)=(x-3)^2

intercepts of f(x)=5x-2y=4

asymptotes of y=5(2^x)

inverse of (3x)/(x-5)

inverse of f(x)=-sqrt(2x+5)

Frequently Asked Questions (FAQ)

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