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Popular >

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

Solution

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

Solution

Domain : x < 1 or x > 1

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

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

Asymptotes : Vertical x = 1, Horizontal y = 1

Extreme Points : Minimum (- 1, 0)

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Vertical

: x = 1,

Horizontal

: y = 1

Extreme Points of

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

Minimum

(- 1, 0)

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Frequently Asked Questions (FAQ)

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