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Popular >

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

Solution

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

Solution

Domain : x < - 1 or x > - 1

Range : f (x) \leq - 25 - 4 or f (x) \geq 25 - 4

Y Intercepts : (0, 2)

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

Extreme Points : Maximum (- 1 - 5, - \frac{10 + 4 5}{5}), Minimum (- 1 + 5, \frac{10 - 4 5}{5})

+1

Interval Notation

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

Range : (- \infty, - 25 - 4] \cup [25 - 4, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} - 2 x + 2}{x + 1} : f (x) \leq - 25 - 4 or f (x) \geq 25 - 4

Axis interception points of

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

Y Intercepts

: (0, 2)

Asymptotes of

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

Vertical

: x = - 1,

Slant

: y = x - 3

Extreme Points of

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

Maximum

(- 1 - 5, - \frac{10 + 4 5}{5}),

Minimum

(- 1 + 5, \frac{10 - 4 5}{5})

Popular Examples

f (x) = x^{2} - 8 x - 4

f (y) = y - 6

f(x)=sqrt(7-2x)

f (x) = 7 - 2 x

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

y = \frac{1}{x - 2} - 3

Frequently Asked Questions (FAQ)

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