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Popular >

y=((x^2+1)/(x^2-1))^3

Solution

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

Solution

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

Range : f (x) \leq - 1 or f (x) > 1

Y Intercepts : (0, - 1)

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

Extreme Points : Maximum (0, - 1)

+1

Interval Notation

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

Range : (- \infty, - 1] \cup (1, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

(\frac{x ^{2} + 1}{x ^{2} - 1})^{3} :

Y Intercepts

: (0, - 1)

Asymptotes of

(\frac{x ^{2} + 1}{x ^{2} - 1})^{3} :

Vertical

: x = - 1, x = 1,

Horizontal

: y = 1

Extreme Points of

(\frac{x ^{2} + 1}{x ^{2} - 1})^{3} :

Maximum

(0, - 1)

Popular Examples

h(x)=-16x^2+72x+40

h (x) = - 16 x^{2} + 72 x + 40

f(x)=e^{2x+3}-e^{4x+3}+2e^3

f (x) = e^{2 x + 3} - e^{4 x + 3} + 2 e^{3}

f (x) = 7 - ∣ x - 1 ∣

y=x^4-2x^3-11x^2+12x+36

y = x^{4} - 2 x^{3} - 11 x^{2} + 12 x + 36

y = - 5 x + 24

Frequently Asked Questions (FAQ)

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