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Popular >

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

Solution

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

Solution

Domain : x < 1 or x > 1

Range : f (x) \leq 0 or f (x) \geq 8

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

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

Extreme Points : Maximum (- 1, 0), Minimum (3, 8)

+1

Interval Notation

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

Range : (- \infty, 0] \cup [8, \infty)

Solution steps

Domain of

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

Range of

\frac{( x + 1 ) ^{2}}{x - 1} : f (x) \leq 0 or f (x) \geq 8

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Vertical

: x = 1,

Slant

: y = x + 3

Extreme Points of

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

Maximum

(- 1, 0),

Minimum

(3, 8)

Popular Examples

y=sqrt((2x+1)/(x-1))

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

f (x) = - (x + 3)^{2}

f (x) = ln (x) e

f(x)=(sqrt(x+3))/(x-2)

f (x) = \frac{x + 3}{x - 2}

f (x) = x^{\frac{4}{5}} - 2

Frequently Asked Questions (FAQ)

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