en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)= 2/(x^3-5x)

Solution

f (x) = \frac{2}{x ^{3} - 5 x}

Solution

Domain : x < - 5 or - 5 < x < 0 or 0 < x < 5 or x > 5

Range : f (x) < 0 or f (x) > 0

Intercepts : None

Asymptotes : Vertical x = - 5, x = 0, x = 5, Horizontal y = 0

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

+1

Interval Notation

Domain : (- \infty, - 5) \cup (- 5, 0) \cup (0, 5) \cup (5, \infty)

Range : (- \infty, 0) \cup (0, \infty)

Solution steps

Domain of

\frac{2}{x ^{3} - 5 x} : x < - 5 or - 5 < x < 0 or 0 < x < 5 or x > 5

Range of

\frac{2}{x ^{3} - 5 x} : f (x) < 0 or f (x) > 0

Axis interception points of

\frac{2}{x ^{3} - 5 x} :

None

Asymptotes of

\frac{2}{x ^{3} - 5 x} :

Vertical

: x = - 5, x = 0, x = 5,

Horizontal

: y = 0

Extreme Points of

\frac{2}{x ^{3} - 5 x} :

Minimum

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

Maximum

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

Popular Examples

f(x)=(x^5+12x^3-5x)/(2x^6+4x^3+x^2-2)

f (x) = \frac{x ^{5} + 12 x ^{3} - 5 x}{2 x ^{6} + 4 x ^{3} + x ^{2} - 2}

y=-1/2 x^2+2x+2.5

y = - \frac{1}{2} x^{2} + 2 x + 2.5

y=(4x^2-16x+8)^5

y = (4 x^{2} - 16 x + 8)^{5}

f(x)=sqrt(x-|x|)

f (x) = x - ∣ x ∣

f(x)=4x(x-4)(x+2)

f (x) = 4 x (x - 4) (x + 2)

Frequently Asked Questions (FAQ)

What is the f(x)= 2/(x^3-5x) ?
The f(x)= 2/(x^3-5x) is