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Popular >

y=(-1)/((x^2)+5x-1)

Solution

y = \frac{- 1}{( x ^{2} ) + 5 x - 1}

Solution

Domain : x < \frac{- 5 - 29}{2} or \frac{- 5 - 29}{2} < x < \frac{- 5 + 29}{2} or x > \frac{- 5 + 29}{2}

Range : f (x) < 0 or f (x) \geq \frac{4}{29}

Y Intercepts : (0, 1)

Asymptotes : Vertical x = \frac{- 5 - 29}{2}, x = \frac{- 5 + 29}{2}, Horizontal y = 0

Extreme Points : Minimum (- \frac{5}{2}, \frac{4}{29})

+1

Interval Notation

Domain : (- \infty, \frac{- 5 - 29}{2}) \cup (\frac{- 5 - 29}{2}, \frac{- 5 + 29}{2}) \cup (\frac{- 5 + 29}{2}, \infty)

Range : (- \infty, 0) \cup [\frac{4}{29}, \infty)

Solution steps

Domain of

\frac{- 1}{x ^{2} + 5 x - 1} : x < \frac{- 5 - 29}{2} or \frac{- 5 - 29}{2} < x < \frac{- 5 + 29}{2} or x > \frac{- 5 + 29}{2}

Range of

\frac{- 1}{x ^{2} + 5 x - 1} : f (x) < 0 or f (x) \geq \frac{4}{29}

Axis interception points of

\frac{- 1}{x ^{2} + 5 x - 1} :

Y Intercepts

: (0, 1)

Asymptotes of

\frac{- 1}{x ^{2} + 5 x - 1} :

Vertical

: x = \frac{- 5 - 29}{2}, x = \frac{- 5 + 29}{2},

Horizontal

: y = 0

Extreme Points of

\frac{- 1}{x ^{2} + 5 x - 1} :

Minimum

(- \frac{5}{2}, \frac{4}{29})

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Frequently Asked Questions (FAQ)

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