en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

y=(4/x-5/(x^2))^3

Solution

y = (\frac{4}{x} - \frac{5}{x ^{2}})^{3}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq \frac{64}{125}

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

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Saddle (\frac{5}{4}, 0), Maximum (\frac{5}{2}, \frac{64}{125})

+1

Interval Notation

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

Range : (- \infty, \frac{64}{125}]

Solution steps

Domain of

(\frac{4}{x} - \frac{5}{x ^{2}})^{3} : x < 0 or x > 0

Range of

(\frac{4}{x} - \frac{5}{x ^{2}})^{3} : f (x) \leq \frac{64}{125}

Axis interception points of

(\frac{4}{x} - \frac{5}{x ^{2}})^{3} :

X Intercepts

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

Asymptotes of

(\frac{4}{x} - \frac{5}{x ^{2}})^{3} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

(\frac{4}{x} - \frac{5}{x ^{2}})^{3} :

Saddle

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

Maximum

(\frac{5}{2}, \frac{64}{125})

Graph

Popular Examples

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

f(x)=sec^4(x)-tan^4(x)-2tan^2(x)

domain of g(e)=ln(x-1)+e^{x^2-3}+(x^2-4)^{5/3}

Frequently Asked Questions (FAQ)

What is the y=(4/x-5/(x^2))^3 ?
The y=(4/x-5/(x^2))^3 is