en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

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

Solution

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

Solution

Domain : x < - 3 or - 3 < x < 2 or x > 2

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

X Intercepts : (1, 0), Y Intercepts : (0, \frac{1}{6})

Asymptotes : Vertical x = - 3, x = 2, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 2) \cup (2, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

\frac{x - 1}{( x + 3 ) ( x - 2 )} :

X Intercepts

: (1, 0),

Y Intercepts

: (0, \frac{1}{6})

Asymptotes of

\frac{x - 1}{( x + 3 ) ( x - 2 )} :

Vertical

: x = - 3, x = 2,

Horizontal

: y = 0

Extreme Points of

\frac{x - 1}{( x + 3 ) ( x - 2 )} :

None

Graph

Popular Examples

range of f(x)= 2/(x-6)

asymptotes of xsqrt(4-x)

domain of f(x)=sqrt(x+2)-sqrt(x+1)

inverse of f(x)=(5x+1)/7

domain of f(x)=4x^2-4x+1

Frequently Asked Questions (FAQ)

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