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Popular >

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

Solution

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

Solution

Domain : x < 1 or x > 1

Range : f (x) \geq - \frac{1}{8}

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

Asymptotes : Vertical x = 1, Horizontal y = 0

Extreme Points : Minimum (- 3, - \frac{1}{8})

+1

Interval Notation

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

Range : [- \frac{1}{8}, \infty)

Solution steps

Domain of

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

Range of

\frac{x + 1}{x ^{2} - 2 x + 1} : f (x) \geq - \frac{1}{8}

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Vertical

: x = 1,

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- 3, - \frac{1}{8})

Popular Examples

y = 2 x^{2} + 3 x - 4

y = 2 x^{2} + 3 x - 7

f (x) = 240 x - 2 x^{2}

f(x)=log_{10}(6x-8)-2log_{10}(x)

f (x) = lo g_{10} (6 x - 8) - 2 lo g_{10} (x)

f(x)=4x-x^2,0<= x<= 4

f (x) = 4 x - x^{2}, 0 \leq x \leq 4

Frequently Asked Questions (FAQ)

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