en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=((x^2+16))/((x^2-9))

Solution

f (x) = \frac{( x ^{2} + 16 )}{( x ^{2} - 9 )}

Solution

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

Range : f (x) \leq - \frac{16}{9} or f (x) > 1

Y Intercepts : (0, - \frac{16}{9})

Asymptotes : Vertical x = - 3, x = 3, Horizontal y = 1

Extreme Points : Maximum (0, - \frac{16}{9})

+1

Interval Notation

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

Range : (- \infty, - \frac{16}{9}] \cup (1, \infty)

Solution steps

Domain of

\frac{x ^{2} + 16}{x ^{2} - 9} : x < - 3 or - 3 < x < 3 or x > 3

Range of

\frac{x ^{2} + 16}{x ^{2} - 9} : f (x) \leq - \frac{16}{9} or f (x) > 1

Axis interception points of

\frac{x ^{2} + 16}{x ^{2} - 9} :

Y Intercepts

: (0, - \frac{16}{9})

Asymptotes of

\frac{x ^{2} + 16}{x ^{2} - 9} :

Vertical

: x = - 3, x = 3,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} + 16}{x ^{2} - 9} :

Maximum

(0, - \frac{16}{9})

Popular Examples

f(x)=(-2)/(x-2)-2

f (x) = \frac{- 2}{x - 2} - 2

f(x)=(sqrt(x-1))/(x^3-27)

f (x) = \frac{x - 1}{x ^{3} - 27}

f(x)=sqrt((1+cos(x))/2)

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

y = - 5 x - 24

f(x)=(\sqrt[3]{10-x}-2)/(x-2)

Frequently Asked Questions (FAQ)

What is the f(x)=((x^2+16))/((x^2-9)) ?
The f(x)=((x^2+16))/((x^2-9)) is