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Popular Functions >

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

Solution

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

Solution

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

Range : f (x) < 0 or 0 < f (x) < 1 or f (x) > 1

Y Intercepts : (0, - 1)

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

Extreme Points : None

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, - 1)

Asymptotes of

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

Vertical

: x = - 1,

Horizontal

: y = 1

Extreme Points of

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

None

Graph

Popular Examples

f(x)=sqrt(x^2+2x+9)

p(x)=x^4-3x^3+6x^2-12x+8

f(x)=(sec(x))/(sec(x)-tan(x))

f(x)=sin^2(x)-4cos^2(x)

Frequently Asked Questions (FAQ)

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