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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : - \frac{1}{12} \leq f (x) < 0 or f (x) > 0

X Intercepts : (- 3, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Minimum (- 6, - \frac{1}{12})

+1

Interval Notation

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

Range : [- \frac{1}{12}, 0) \cup (0, \infty)

Solution steps

Domain of

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

Range of

\frac{1}{x} + \frac{3}{x ^{2}} : - \frac{1}{12} \leq f (x) < 0 or f (x) > 0

Axis interception points of

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

X Intercepts

: (- 3, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- 6, - \frac{1}{12})

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Frequently Asked Questions (FAQ)

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