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Popular >

y= 1/((x^2-1)(x^2+x+1))

Solution

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

Solution

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

Range : f (x) \leq - 0.75875 \dots or f (x) > 0

Y Intercepts : (0, - 1)

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

Extreme Points : Maximum (0.45541 \dots, - 0.75875 \dots)

+1

Interval Notation

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

Range : (- \infty, - 0.75875 \dots] \cup (0, \infty)

Solution steps

Domain of

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

Range of

\frac{1}{( x ^{2} - 1 ) ( x ^{2} + x + 1 )} : f (x) \leq - 0.75875 \dots or f (x) > 0

Axis interception points of

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

Y Intercepts

: (0, - 1)

Asymptotes of

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

Vertical

: x = - 1, x = 1,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(0.45541 \dots, - 0.75875 \dots)

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Frequently Asked Questions (FAQ)

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