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Popular >

f(x)=(x^3-27)/(x^2-9)

Solution

f (x) = \frac{x ^{3} - 27}{x ^{2} - 9}

Solution

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

Range : f (x) \leq - 9 or f (x) \geq 3

Y Intercepts : (0, 3)

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

Extreme Points : Maximum (- 6, - 9), Minimum (0, 3)

+1

Interval Notation

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

Range : (- \infty, - 9] \cup [3, \infty)

Solution steps

Domain of

\frac{x ^{3} - 27}{x ^{2} - 9} : x < - 3 or - 3 < x < 3 or x > 3

Range of

\frac{x ^{3} - 27}{x ^{2} - 9} : f (x) \leq - 9 or f (x) \geq 3

Axis interception points of

\frac{x ^{3} - 27}{x ^{2} - 9} :

Y Intercepts

: (0, 3)

Asymptotes of

\frac{x ^{3} - 27}{x ^{2} - 9} :

Vertical

: x = - 3,

Slant

: y = x

Extreme Points of

\frac{x ^{3} - 27}{x ^{2} - 9} :

Maximum

(- 6, - 9),

Minimum

(0, 3)

Popular Examples

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

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

Frequently Asked Questions (FAQ)

What is the f(x)=(x^3-27)/(x^2-9) ?
The f(x)=(x^3-27)/(x^2-9) is