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Popular >

f(x)= 1/(x^2-2x-8)

Solution

f (x) = \frac{1}{x ^{2} - 2 x - 8}

Solution

Domain : x < - 2 or - 2 < x < 4 or x > 4

Range : f (x) \leq - \frac{1}{9} or f (x) > 0

Y Intercepts : (0, - \frac{1}{8})

Asymptotes : Vertical x = - 2, x = 4, Horizontal y = 0

Extreme Points : Maximum (1, - \frac{1}{9})

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 4) \cup (4, \infty)

Range : (- \infty, - \frac{1}{9}] \cup (0, \infty)

Solution steps

Domain of

\frac{1}{x ^{2} - 2 x - 8} : x < - 2 or - 2 < x < 4 or x > 4

Range of

\frac{1}{x ^{2} - 2 x - 8} : f (x) \leq - \frac{1}{9} or f (x) > 0

Axis interception points of

\frac{1}{x ^{2} - 2 x - 8} :

Y Intercepts

: (0, - \frac{1}{8})

Asymptotes of

\frac{1}{x ^{2} - 2 x - 8} :

Vertical

: x = - 2, x = 4,

Horizontal

: y = 0

Extreme Points of

\frac{1}{x ^{2} - 2 x - 8} :

Maximum

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

Popular Examples

y = cos (8 x)

y = 5 x + 20

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f(x)=-2x^2-4x+3

f (x) = - 2 x^{2} - 4 x + 3

f (x) = \frac{π}{x}

Frequently Asked Questions (FAQ)

What is the f(x)= 1/(x^2-2x-8) ?
The f(x)= 1/(x^2-2x-8) is