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^2-2x-15)/(x^2-x-12)

Solution

f (x) = \frac{x ^{2} - 2 x - 15}{x ^{2} - x - 12}

Solution

Domain : x < - 3 or - 3 < x < 4 or x > 4

Range : f (x) < 1 or 1 < f (x) < \frac{8}{7} or f (x) > \frac{8}{7}

X Intercepts : (5, 0), Y Intercepts : (0, \frac{5}{4})

Asymptotes : Vertical x = 4, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 4) \cup (4, \infty)

Range : (- \infty, 1) \cup (1, \frac{8}{7}) \cup (\frac{8}{7}, \infty)

Solution steps

Domain of

\frac{x ^{2} - 2 x - 15}{x ^{2} - x - 12} : x < - 3 or - 3 < x < 4 or x > 4

Range of

\frac{x ^{2} - 2 x - 15}{x ^{2} - x - 12} : f (x) < 1 or 1 < f (x) < \frac{8}{7} or f (x) > \frac{8}{7}

Axis interception points of

\frac{x ^{2} - 2 x - 15}{x ^{2} - x - 12} :

X Intercepts

: (5, 0),

Y Intercepts

: (0, \frac{5}{4})

Asymptotes of

\frac{x ^{2} - 2 x - 15}{x ^{2} - x - 12} :

Vertical

: x = 4,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} - 2 x - 15}{x ^{2} - x - 12} :

None

Graph

Popular Examples

f(x)={x+1:x<-4,2:-4<= x<0,x^2:x>= 0}

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

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

h(x)=((x-2))/(x^2-16)

f(x)=(e^x)/((e^x+1)^2)

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-2x-15)/(x^2-x-12) ?
The f(x)=(x^2-2x-15)/(x^2-x-12) is