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Popular >

f(x)= x/(sqrt(x^2-5x-14))

Solution

f (x) = \frac{x}{x ^{2} - 5 x - 14}

Solution

Domain : x < - 2 or x > 7

Range : f (x) \leq - \frac{2 14}{9} or f (x) > 1

Intercepts : None

Asymptotes : Vertical x = - 2, x = 7, Horizontal y = 1, y = - 1

Extreme Points : Maximum (- \frac{28}{5}, - \frac{2 14}{9})

+1

Interval Notation

Domain : (- \infty, - 2) \cup (7, \infty)

Range : (- \infty, - \frac{2 14}{9}] \cup (1, \infty)

Solution steps

Domain of

\frac{x}{x ^{2} - 5 x - 14} : x < - 2 or x > 7

Range of

\frac{x}{x ^{2} - 5 x - 14} : f (x) \leq - \frac{2 14}{9} or f (x) > 1

Axis interception points of

\frac{x}{x ^{2} - 5 x - 14} :

None

Asymptotes of

\frac{x}{x ^{2} - 5 x - 14} :

Vertical

: x = - 2, x = 7,

Horizontal

: y = 1, y = - 1

Extreme Points of

\frac{x}{x ^{2} - 5 x - 14} :

Maximum

(- \frac{28}{5}, - \frac{2 14}{9})

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Frequently Asked Questions (FAQ)

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