What is the f(x)=(x^4-3x^3-11x^2+23x+6)/(x^2-x-6) ?

The f(x)=(x^4-3x^3-11x^2+23x+6)/(x^2-x-6) is

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f(x)=(x^4-3x^3-11x^2+23x+6)/(x^2-x-6)

f (x) = \frac{x ^{4} - 3 x ^{3} - 11 x ^{2} + 23 x + 6}{x ^{2} - x - 6}

Domain : x < - 2 or - 2 < x < 3 or x > 3

X Intercepts : (2, 0), (- 3, 0), (2 + 5, 0), (2 - 5, 0), Y Intercepts : (0, - 1)

Asymptotes : Vertical x = - 2, x = 3

Extreme Points : Minimum (0.94184 \dots, - 2.67311 \dots)

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 3) \cup (3, \infty)

Solution steps

Domain of

\frac{x ^{4} - 3 x ^{3} - 11 x ^{2} + 23 x + 6}{x ^{2} - x - 6} : x < - 2 or - 2 < x < 3 or x > 3

Axis interception points of

\frac{x ^{4} - 3 x ^{3} - 11 x ^{2} + 23 x + 6}{x ^{2} - x - 6} :

X Intercepts

: (2, 0), (- 3, 0), (2 + 5, 0), (2 - 5, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

\frac{x ^{4} - 3 x ^{3} - 11 x ^{2} + 23 x + 6}{x ^{2} - x - 6} :

Vertical

: x = - 2, x = 3

Extreme Points of

\frac{x ^{4} - 3 x ^{3} - 11 x ^{2} + 23 x + 6}{x ^{2} - x - 6} :

Minimum

(0.94184 \dots, - 2.67311 \dots)

f (t) = sin (t) sin (2 t)

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

f (x) = \frac{5 x - 3 x ^{2}}{x - 1}

y = 4 sec (x)

f (X) = 5 X

What is the f(x)=(x^4-3x^3-11x^2+23x+6)/(x^2-x-6) ?
The f(x)=(x^4-3x^3-11x^2+23x+6)/(x^2-x-6) is