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Popular >

h(x)=(x^2+x)(x^2-1)^{-1}

Solution

h (x) = (x^{2} + x) (x^{2} - 1)^{- 1}

Solution

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

Range : f (x) < \frac{1}{2} or \frac{1}{2} < f (x) < 1 or f (x) > 1

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 1, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \frac{1}{2}) \cup (\frac{1}{2}, 1) \cup (1, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = 1,

Horizontal

: y = 1

Extreme Points of

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

None

Popular Examples

f (x) = x^{2} + 8 x - 8

f(x)=|x+1|-|x|-2x-1

f (x) = ∣ x + 1 ∣ - ∣ x ∣ - 2 x - 1

f(x)=x^3-4x^2-37x+40

f (x) = x^{3} - 4 x^{2} - 37 x + 40

f(x)=3x^2+24x+48

f (x) = 3 x^{2} + 24 x + 48

f (x) = π x^{2}

Frequently Asked Questions (FAQ)

What is the h(x)=(x^2+x)(x^2-1)^{-1} ?
The h(x)=(x^2+x)(x^2-1)^{-1} is