What is the f(x)=(x^2-81)/(x^3+7x^2-18x) ?

The f(x)=(x^2-81)/(x^3+7x^2-18x) is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(x^2-81)/(x^3+7x^2-18x)

f (x) = \frac{x ^{2} - 81}{x ^{3} + 7 x ^{2} - 18 x}

Domain : x < - 9 or - 9 < x < 0 or 0 < x < 2 or x > 2

Range : f (x) \leq \frac{8 - 3 7}{2} or f (x) \geq \frac{3 7 + 8}{2}

X Intercepts : (9, 0)

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

Extreme Points : Minimum (3 (3 - 7), \frac{8 + 3 7}{2}), Maximum (3 (3 + 7), \frac{8 - 3 7}{2})

Interval Notation

Domain : (- \infty, - 9) \cup (- 9, 0) \cup (0, 2) \cup (2, \infty)

Range : (- \infty, \frac{8 - 3 7}{2}] \cup [\frac{3 7 + 8}{2}, \infty)

Solution steps

Domain of

\frac{x ^{2} - 81}{x ^{3} + 7 x ^{2} - 18 x} : x < - 9 or - 9 < x < 0 or 0 < x < 2 or x > 2

Range of

\frac{x ^{2} - 81}{x ^{3} + 7 x ^{2} - 18 x} : f (x) \leq \frac{8 - 3 7}{2} or f (x) \geq \frac{3 7 + 8}{2}

Axis interception points of

\frac{x ^{2} - 81}{x ^{3} + 7 x ^{2} - 18 x} :

X Intercepts

: (9, 0)

Asymptotes of

\frac{x ^{2} - 81}{x ^{3} + 7 x ^{2} - 18 x} :

Vertical

: x = 0, x = 2,

Horizontal

: y = 0

Extreme Points of

\frac{x ^{2} - 81}{x ^{3} + 7 x ^{2} - 18 x} :

Minimum

(3 (3 - 7), \frac{8 + 3 7}{2}),

Maximum

(3 (3 + 7), \frac{8 - 3 7}{2})

y = \frac{5}{x ^{5}}

f (x) = \frac{x ^{3} + 2 x + 1}{x ^{2} - 4}

h (x) = x^{2} - 2 x - 8

f (t) = 4 t^{2} - t

f (x) = - 2 x - 3 + 8