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Popular >

f(x)=(x-9)/(x^2+18x+81)

Solution

f (x) = \frac{x - 9}{x ^{2} + 18 x + 81}

Solution

Domain : x < - 9 or x > - 9

Range : f (x) \leq \frac{1}{72}

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

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

Extreme Points : Maximum (27, \frac{1}{72})

+1

Interval Notation

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

Range : (- \infty, \frac{1}{72}]

Solution steps

Domain of

\frac{x - 9}{x ^{2} + 18 x + 81} : x < - 9 or x > - 9

Range of

\frac{x - 9}{x ^{2} + 18 x + 81} : f (x) \leq \frac{1}{72}

Axis interception points of

\frac{x - 9}{x ^{2} + 18 x + 81} :

X Intercepts

: (9, 0),

Y Intercepts

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

Asymptotes of

\frac{x - 9}{x ^{2} + 18 x + 81} :

Vertical

: x = - 9,

Horizontal

: y = 0

Extreme Points of

\frac{x - 9}{x ^{2} + 18 x + 81} :

Maximum

(27, \frac{1}{72})

Popular Examples

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f (x) = \frac{4}{3 x - 12}

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y = (x - 4) (x + 8)

P(t)=(101)/(1+40e^{-0.5t)}

P (t) = \frac{101}{1 + 40 e ^{- 0.5 t}}

f (x) = - 10 x + 3

Frequently Asked Questions (FAQ)

What is the f(x)=(x-9)/(x^2+18x+81) ?
The f(x)=(x-9)/(x^2+18x+81) is