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Popular >

f(x)=(x^2-10x+2)/(x(x^2-1))

Solution

f (x) = \frac{x ^{2} - 10 x + 2}{x ( x ^{2} - 1 )}

Solution

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

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

X Intercepts : (5 + 23, 0), (5 - 23, 0)

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

Extreme Points : Minimum (- 0.37072 \dots, 18.27757 \dots), Maximum (19.64391 \dots, 0.02532 \dots)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{2} - 10 x + 2}{x ( x ^{2} - 1 )} : x < - 1 or - 1 < x < 0 or 0 < x < 1 or x > 1

Range of

\frac{x ^{2} - 10 x + 2}{x ( x ^{2} - 1 )} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{2} - 10 x + 2}{x ( x ^{2} - 1 )} :

X Intercepts

: (5 + 23, 0), (5 - 23, 0)

Asymptotes of

\frac{x ^{2} - 10 x + 2}{x ( x ^{2} - 1 )} :

Vertical

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

Horizontal

: y = 0

Extreme Points of

\frac{x ^{2} - 10 x + 2}{x ( x ^{2} - 1 )} :

Minimum

(- 0.37072 \dots, 18.27757 \dots),

Maximum

(19.64391 \dots, 0.02532 \dots)

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-10x+2)/(x(x^2-1)) ?
The f(x)=(x^2-10x+2)/(x(x^2-1)) is