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Popular >

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})

Popular Examples

y = \frac{x + 2}{x - 4}

f(x)=7x-3+ln(x)

f (x) = 7 x - 3 + ln (x)

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

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

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

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

f (x) = 2 x^{2} - 2 x + 2

Frequently Asked Questions (FAQ)

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