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Popular >

f(x)=(-1)/(x^2-36)

Solution

f (x) = \frac{- 1}{x ^{2} - 36}

Solution

Domain : x < - 6 or - 6 < x < 6 or x > 6

Range : f (x) < 0 or f (x) \geq \frac{1}{36}

Y Intercepts : (0, \frac{1}{36})

Asymptotes : Vertical x = - 6, x = 6, Horizontal y = 0

Extreme Points : Minimum (0, \frac{1}{36})

+1

Interval Notation

Domain : (- \infty, - 6) \cup (- 6, 6) \cup (6, \infty)

Range : (- \infty, 0) \cup [\frac{1}{36}, \infty)

Solution steps

Domain of

\frac{- 1}{x ^{2} - 36} : x < - 6 or - 6 < x < 6 or x > 6

Range of

\frac{- 1}{x ^{2} - 36} : f (x) < 0 or f (x) \geq \frac{1}{36}

Axis interception points of

\frac{- 1}{x ^{2} - 36} :

Y Intercepts

: (0, \frac{1}{36})

Asymptotes of

\frac{- 1}{x ^{2} - 36} :

Vertical

: x = - 6, x = 6,

Horizontal

: y = 0

Extreme Points of

\frac{- 1}{x ^{2} - 36} :

Minimum

(0, \frac{1}{36})

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Frequently Asked Questions (FAQ)

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