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Popular >

f(x)=(x^2+4x+4)/(x^3+4x^2)

Solution

f (x) = \frac{x ^{2} + 4 x + 4}{x ^{3} + 4 x ^{2}}

Solution

Domain : x < - 4 or - 4 < x < 0 or x > 0

X Intercepts : (- 2, 0)

Asymptotes : Vertical x = - 4, x = 0, Horizontal y = 0

Extreme Points : Minimum (- 2, 0)

+1

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, 0) \cup (0, \infty)

Solution steps

Domain of

\frac{x ^{2} + 4 x + 4}{x ^{3} + 4 x ^{2}} : x < - 4 or - 4 < x < 0 or x > 0

Axis interception points of

\frac{x ^{2} + 4 x + 4}{x ^{3} + 4 x ^{2}} :

X Intercepts

: (- 2, 0)

Asymptotes of

\frac{x ^{2} + 4 x + 4}{x ^{3} + 4 x ^{2}} :

Vertical

: x = - 4, x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{x ^{2} + 4 x + 4}{x ^{3} + 4 x ^{2}} :

Minimum

(- 2, 0)

Popular Examples

y = x^{7}

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f (x) = 4^{x + 4}

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f (x) = ln (2 - 5 x^{2})

y = x lo g_{10} (x)

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+4x+4)/(x^3+4x^2) ?
The f(x)=(x^2+4x+4)/(x^3+4x^2) is