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Popular >

f(x)=((x+1)^3)/((x-1)^2)

Solution

f (x) = \frac{( x + 1 ) ^{3}}{( x - 1 ) ^{2}}

Solution

Domain : x < 1 or x > 1

Range : - \infty < f (x) < \infty

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

Asymptotes : Vertical x = 1, Slant y = x + 5

Extreme Points : Saddle (- 1, 0), Minimum (5, \frac{27}{2})

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{( x + 1 ) ^{3}}{( x - 1 ) ^{2}} : x < 1 or x > 1

Range of

\frac{( x + 1 ) ^{3}}{( x - 1 ) ^{2}} : - \infty < f (x) < \infty

Axis interception points of

\frac{( x + 1 ) ^{3}}{( x - 1 ) ^{2}} :

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

\frac{( x + 1 ) ^{3}}{( x - 1 ) ^{2}} :

Vertical

: x = 1,

Slant

: y = x + 5

Extreme Points of

\frac{( x + 1 ) ^{3}}{( x - 1 ) ^{2}} :

Saddle

(- 1, 0),

Minimum

(5, \frac{27}{2})

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f (x) = - x^{2} + 6 x + 9

Frequently Asked Questions (FAQ)

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