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Popular Functions >

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

Solution

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

Solution

Domain : x < - 1 or x > - 1

Range : f (x) \leq - 22 - 4 or f (x) \geq 22 - 4

X Intercepts : (1 + 2, 0), (1 - 2, 0), Y Intercepts : (0, - 1)

Asymptotes : Vertical x = - 1, Slant y = x - 3

Extreme Points : Maximum (- 1 - 2, - 22 - 4), Minimum (- 1 + 2, 22 - 4)

+1

Interval Notation

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

Range : (- \infty, - 22 - 4] \cup [22 - 4, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} - 2 x - 1}{x + 1} : f (x) \leq - 22 - 4 or f (x) \geq 22 - 4

Axis interception points of

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

X Intercepts

: (1 + 2, 0), (1 - 2, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Vertical

: x = - 1,

Slant

: y = x - 3

Extreme Points of

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

Maximum

(- 1 - 2, - 22 - 4),

Minimum

(- 1 + 2, 22 - 4)

Graph

Popular Examples

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line (10,242),(15,364)

periodicity of f(x)=sin((8pix)/5)

Frequently Asked Questions (FAQ)

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