What is the f(x)=((x-1)(x^2+x+1))/((x+3)(x-3)) ?

The f(x)=((x-1)(x^2+x+1))/((x+3)(x-3)) is

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f(x)=((x-1)(x^2+x+1))/((x+3)(x-3))

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

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

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

X Intercepts : (1, 0), Y Intercepts : (0, \frac{1}{9})

Asymptotes : Vertical x = - 3, x = 3, Slant y = x

Extreme Points : Maximum (- 5.23280 \dots, - 7.84920 \dots), Minimum (0, \frac{1}{9}), Maximum (0.07408 \dots, 0.11113 \dots), Minimum (5.15871 \dots, 7.73806 \dots)

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0),

Y Intercepts

: (0, \frac{1}{9})

Asymptotes of

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

Vertical

: x = - 3, x = 3,

Slant

: y = x

Extreme Points of

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

Maximum

(- 5.23280 \dots, - 7.84920 \dots),

Minimum

(0, \frac{1}{9}),

Maximum

(0.07408 \dots, 0.11113 \dots),

Minimum

(5.15871 \dots, 7.73806 \dots)

y = e^{- x^{3}}

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

f (x) = arctan (2 x + 3)

f (x) = \frac{2 x - 6}{4 - 7 + x ^{2}}

f (x) = 12 x^{3} - 5 x^{2} - 11 x + 6

What is the f(x)=((x-1)(x^2+x+1))/((x+3)(x-3)) ?
The f(x)=((x-1)(x^2+x+1))/((x+3)(x-3)) is