What is the R(x)=(4x^2-14x-6)/(x(x+1)(x-3)) ?

The R(x)=(4x^2-14x-6)/(x(x+1)(x-3)) is

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R(x)=(4x^2-14x-6)/(x(x+1)(x-3))

R (x) = \frac{4 x ^{2} - 14 x - 6}{x ( x + 1 ) ( x - 3 )}

Domain : x < - 1 or - 1 < x < 0 or 0 < x < 3 or x > 3

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

X Intercepts : (\frac{7 + 73}{4}, 0), (\frac{7 - 73}{4}, 0)

Asymptotes : Vertical x = - 1, x = 0, x = 3, Horizontal y = 0

Extreme Points : Minimum (1.93530 \dots, 2.99470 \dots), Maximum (5.86565 \dots, 0.42896 \dots)

Interval Notation

Domain : (- \infty, - 1) \cup (- 1, 0) \cup (0, 3) \cup (3, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{4 x ^{2} - 14 x - 6}{x ( x + 1 ) ( x - 3 )} : x < - 1 or - 1 < x < 0 or 0 < x < 3 or x > 3

Range of

\frac{4 x ^{2} - 14 x - 6}{x ( x + 1 ) ( x - 3 )} : - \infty < f (x) < \infty

Axis interception points of

\frac{4 x ^{2} - 14 x - 6}{x ( x + 1 ) ( x - 3 )} :

X Intercepts

: (\frac{7 + 73}{4}, 0), (\frac{7 - 73}{4}, 0)

Asymptotes of

\frac{4 x ^{2} - 14 x - 6}{x ( x + 1 ) ( x - 3 )} :

Vertical

: x = - 1, x = 0, x = 3,

Horizontal

: y = 0

Extreme Points of

\frac{4 x ^{2} - 14 x - 6}{x ( x + 1 ) ( x - 3 )} :

Minimum

(1.93530 \dots, 2.99470 \dots),

Maximum

(5.86565 \dots, 0.42896 \dots)

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

f (x) = - 7 x^{4}

f (x) = (x + 5)^{2} - 9

y = cos (x - \frac{π}{2}) - 1

f (a) = \frac{sin ( a )}{a}

What is the R(x)=(4x^2-14x-6)/(x(x+1)(x-3)) ?
The R(x)=(4x^2-14x-6)/(x(x+1)(x-3)) is