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Popular >

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

Solution

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

Solution

Domain : x < - 1 or - 1 < x < 0 or 0 < x < 1 or x > 1

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

Intercepts : None

Asymptotes : Vertical x = - 1, x = 0, x = 1, Horizontal y = 0

Extreme Points : Minimum (- 27 - 5, \frac{7 + 2}{2 7 - 5}), Maximum (27 - 5, - \frac{2 + 7}{2 7 - 5})

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = - 1, x = 0, x = 1,

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- 27 - 5, \frac{7 + 2}{2 7 - 5}),

Maximum

(27 - 5, - \frac{2 + 7}{2 7 - 5})

Popular Examples

f(x)=x^6-6x^5+19x^4-33x^2+22x+13

f (x) = x^{6} - 6 x^{5} + 19 x^{4} - 33 x^{2} + 22 x + 13

f (x) = 5 + ln (x)

f (x) = 3^{x + 1} - 3

y = sin (3 x) + 2

f(x)=e^{3ln(x)}

f (x) = e^{3 l n (x)}

Frequently Asked Questions (FAQ)

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