What is the f(x)=(-3x^2-12x-9)/(x^2+5x+4) ?

The f(x)=(-3x^2-12x-9)/(x^2+5x+4) is

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f(x)=(-3x^2-12x-9)/(x^2+5x+4)

f (x) = \frac{- 3 x ^{2} - 12 x - 9}{x ^{2} + 5 x + 4}

Domain : x < - 4 or - 4 < x < - 1 or x > - 1

Range : f (x) > - 3

X Intercepts : (- 3, 0), Y Intercepts : (0, - \frac{9}{4})

Asymptotes : Vertical x = - 4, Horizontal y = - 3

Extreme Points : None

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, - 1) \cup (- 1, \infty)

Range : (- 3, \infty)

Solution steps

Domain of

\frac{- 3 x ^{2} - 12 x - 9}{x ^{2} + 5 x + 4} : x < - 4 or - 4 < x < - 1 or x > - 1

Range of

\frac{- 3 x ^{2} - 12 x - 9}{x ^{2} + 5 x + 4} : f (x) > - 3

Axis interception points of

\frac{- 3 x ^{2} - 12 x - 9}{x ^{2} + 5 x + 4} :

X Intercepts

: (- 3, 0),

Y Intercepts

: (0, - \frac{9}{4})

Asymptotes of

\frac{- 3 x ^{2} - 12 x - 9}{x ^{2} + 5 x + 4} :

Vertical

: x = - 4,

Horizontal

: y = - 3

Extreme Points of

\frac{- 3 x ^{2} - 12 x - 9}{x ^{2} + 5 x + 4} :

None

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

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What is the f(x)=(-3x^2-12x-9)/(x^2+5x+4) ?
The f(x)=(-3x^2-12x-9)/(x^2+5x+4) is