What is the R(x)=(6x^2+13x+6)/((x+2)(x+1)^2) ?

The R(x)=(6x^2+13x+6)/((x+2)(x+1)^2) is

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R(x)=(6x^2+13x+6)/((x+2)(x+1)^2)

R (x) = \frac{6 x ^{2} + 13 x + 6}{( x + 2 ) ( x + 1 ) ^{2}}

Domain : x < - 2 or - 2 < x < - 1 or x > - 1

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

X Intercepts : (- \frac{2}{3}, 0), (- \frac{3}{2}, 0), Y Intercepts : (0, 3)

Asymptotes : Vertical x = - 2, x = - 1, Horizontal y = 0

Extreme Points : Maximum (- 0.26432 \dots, 3.17548 \dots)

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, - 1) \cup (- 1, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{6 x ^{2} + 13 x + 6}{( x + 2 ) ( x + 1 ) ^{2}} : x < - 2 or - 2 < x < - 1 or x > - 1

Range of

\frac{6 x ^{2} + 13 x + 6}{( x + 2 ) ( x + 1 ) ^{2}} : - \infty < f (x) < \infty

Axis interception points of

\frac{6 x ^{2} + 13 x + 6}{( x + 2 ) ( x + 1 ) ^{2}} :

X Intercepts

: (- \frac{2}{3}, 0), (- \frac{3}{2}, 0),

Y Intercepts

: (0, 3)

Asymptotes of

\frac{6 x ^{2} + 13 x + 6}{( x + 2 ) ( x + 1 ) ^{2}} :

Vertical

: x = - 2, x = - 1,

Horizontal

: y = 0

Extreme Points of

\frac{6 x ^{2} + 13 x + 6}{( x + 2 ) ( x + 1 ) ^{2}} :

Maximum

(- 0.26432 \dots, 3.17548 \dots)

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

f (x) = x^{2} - e^{- x}

r (x) = 2 + cos (x)

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

y = ln (x) + 4

What is the R(x)=(6x^2+13x+6)/((x+2)(x+1)^2) ?
The R(x)=(6x^2+13x+6)/((x+2)(x+1)^2) is