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+2x)/(-x^2+9)

Solution

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

Solution

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

Range : f (x) \leq - \frac{5}{6} - \frac{1}{2} or f (x) \geq \frac{5}{6} - \frac{1}{2}

X Intercepts : (0, 0), (- 2, 0), Y Intercepts : (0, 0)

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

Extreme Points : Maximum (- \frac{3 ( 3 + 5 )}{2}, - \frac{3 + 5}{6}), Minimum (\frac{3 ( 5 - 3 )}{2}, \frac{5 - 3}{6})

+1

Interval Notation

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

Range : (- \infty, - \frac{5}{6} - \frac{1}{2}] \cup [\frac{5}{6} - \frac{1}{2}, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} + 2 x}{- x ^{2} + 9} : f (x) \leq - \frac{5}{6} - \frac{1}{2} or f (x) \geq \frac{5}{6} - \frac{1}{2}

Axis interception points of

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

X Intercepts

: (0, 0), (- 2, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 3, x = 3,

Horizontal

: y = - 1

Extreme Points of

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

Maximum

(- \frac{3 ( 3 + 5 )}{2}, - \frac{3 + 5}{6}),

Minimum

(\frac{3 ( 5 - 3 )}{2}, \frac{5 - 3}{6})

Popular Examples

f(x)= 2/(x+2)+(1-sqrt(9-x^2))/3

f (x) = \frac{2}{x + 2} + \frac{1 - 9 - x ^{2}}{3}

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

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

f(x)=(2-sqrt(x-2))/(x^2-36)

f (x) = \frac{2 - x - 2}{x ^{2} - 36}

f(x)=(3x^3-4x^2-108x+139)/(x^2-36)

f (x) = \frac{3 x ^{3} - 4 x ^{2} - 108 x + 139}{x ^{2} - 36}

h(x)=sqrt((2-x)/(5-x))

h (x) = \frac{2 - x}{5 - x}

Frequently Asked Questions (FAQ)

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