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Popular >

f(x)= 1/(x^2)+5 1/(x^3)

Solution

f (x) = \frac{1}{x ^{2}} + 5 \frac{1}{x ^{3}}

Solution

Domain : x < 0 or x > 0

Range : - \infty < f (x) < \infty

X Intercepts : (- 5, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Maximum (- \frac{15}{2}, \frac{4}{675})

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{1}{x ^{2}} + 5 \frac{1}{x ^{3}} : x < 0 or x > 0

Range of

\frac{1}{x ^{2}} + 5 \frac{1}{x ^{3}} : - \infty < f (x) < \infty

Axis interception points of

\frac{1}{x ^{2}} + 5 \frac{1}{x ^{3}} :

X Intercepts

: (- 5, 0)

Asymptotes of

\frac{1}{x ^{2}} + 5 \frac{1}{x ^{3}} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{1}{x ^{2}} + 5 \frac{1}{x ^{3}} :

Maximum

(- \frac{15}{2}, \frac{4}{675})

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Frequently Asked Questions (FAQ)

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