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Popular Calculus >

f(x)=((x^2+9))/((x^2-9))

Solution

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

Solution

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

Range : f (x) \leq - 1 or f (x) > 1

Y Intercepts : (0, - 1)

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

Extreme Points : Maximum (0, - 1)

+1

Interval Notation

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

Range : (- \infty, - 1] \cup (1, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} + 9}{x ^{2} - 9} : f (x) \leq - 1 or f (x) > 1

Axis interception points of

\frac{x ^{2} + 9}{x ^{2} - 9} :

Y Intercepts

: (0, - 1)

Asymptotes of

\frac{x ^{2} + 9}{x ^{2} - 9} :

Vertical

: x = - 3, x = 3,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} + 9}{x ^{2} - 9} :

Maximum

(0, - 1)

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

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