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Popular >

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

Solution

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

Solution

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

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

X Intercepts : (\frac{1}{2}, 0), (- \frac{1}{2}, 0)

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

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 1) \cup (- 1, 0) \cup (0, 1) \cup (1, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{1}{2}, 0), (- \frac{1}{2}, 0)

Asymptotes of

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

Vertical

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

Horizontal

: y = 0

Extreme Points of

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

None

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integral from 1 to R of x^{-7/5}

\int_{1}^{R} x^{- \frac{7}{5}} d x

Frequently Asked Questions (FAQ)

What is the f(x)=(2x^2-1)/(x^3-x) ?
The f(x)=(2x^2-1)/(x^3-x) is