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Popular >

f(x)=(x-3)/(x^2-81)

Solution

f (x) = \frac{x - 3}{x ^{2} - 81}

Solution

Domain : x < - 9 or - 9 < x < 9 or x > 9

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

X Intercepts : (3, 0), Y Intercepts : (0, \frac{1}{27})

Asymptotes : Vertical x = - 9, x = 9, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 9) \cup (- 9, 9) \cup (9, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x - 3}{x ^{2} - 81} : x < - 9 or - 9 < x < 9 or x > 9

Range of

\frac{x - 3}{x ^{2} - 81} : - \infty < f (x) < \infty

Axis interception points of

\frac{x - 3}{x ^{2} - 81} :

X Intercepts

: (3, 0),

Y Intercepts

: (0, \frac{1}{27})

Asymptotes of

\frac{x - 3}{x ^{2} - 81} :

Vertical

: x = - 9, x = 9,

Horizontal

: y = 0

Extreme Points of

\frac{x - 3}{x ^{2} - 81} :

None

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Frequently Asked Questions (FAQ)

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