What is the f(x)={(x^2-x)/(x^2-1):x\ne 1,1:x=1} ?

The f(x)={(x^2-x)/(x^2-1):x\ne 1,1:x=1} is

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f(x)={(x^2-x)/(x^2-1):x\ne 1,1:x=1}

f (x) = {\frac{x ^{2} - x}{x ^{2} - 1} : x \neq = 1, 1 : x = 1}

Domain : x < - 1 or x > - 1

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

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

Monotone Intervals : Increasing : - \infty < x < - 1, Increasing : - 1 < x < 1, Increasing : 1 < x < \infty

Interval Notation

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

Solution steps

Domain of

{\frac{x ^{2} - x}{x ^{2} - 1} : x < 1 or x > 1, 1 : x = 1} : x < - 1 or x > - 1

Axis interception points of

{\frac{x ^{2} - x}{x ^{2} - 1} : x < 1 or x > 1, 1 : x = 1} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

{\frac{x ^{2} - x}{x ^{2} - 1} : x < 1 or x > 1, 1 : x = 1} :

Vertical

: x = - 1,

Horizontal

: y = 1

Monotone Intervals of

{\frac{x ^{2} - x}{x ^{2} - 1} : x < 1 or x > 1, 1 : x = 1} :

Increasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

f (x) = - x (- 2 x - 2) (3 x + 3)^{2} (- 1 x - 6)^{3}

g (x) = - 3^{x} - 2

f (x) = x sin (2 x) d x

f (a) = a - 4

What is the f(x)={(x^2-x)/(x^2-1):x\ne 1,1:x=1} ?
The f(x)={(x^2-x)/(x^2-1):x\ne 1,1:x=1} is