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Popular >

f(x)= 5/(x^2-25)

Solution

f (x) = \frac{5}{x ^{2} - 25}

Solution

Domain : x < - 5 or - 5 < x < 5 or x > 5

Range : f (x) \leq - \frac{1}{5} or f (x) > 0

Y Intercepts : (0, - \frac{1}{5})

Asymptotes : Vertical x = - 5, x = 5, Horizontal y = 0

Extreme Points : Maximum (0, - \frac{1}{5})

+1

Interval Notation

Domain : (- \infty, - 5) \cup (- 5, 5) \cup (5, \infty)

Range : (- \infty, - \frac{1}{5}] \cup (0, \infty)

Solution steps

Domain of

\frac{5}{x ^{2} - 25} : x < - 5 or - 5 < x < 5 or x > 5

Range of

\frac{5}{x ^{2} - 25} : f (x) \leq - \frac{1}{5} or f (x) > 0

Axis interception points of

\frac{5}{x ^{2} - 25} :

Y Intercepts

: (0, - \frac{1}{5})

Asymptotes of

\frac{5}{x ^{2} - 25} :

Vertical

: x = - 5, x = 5,

Horizontal

: y = 0

Extreme Points of

\frac{5}{x ^{2} - 25} :

Maximum

(0, - \frac{1}{5})

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Frequently Asked Questions (FAQ)

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