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Popular >

g(x)=(x^2+5)/(x^2+6x)

Solution

g (x) = \frac{x ^{2} + 5}{x ^{2} + 6 x}

Solution

Domain : x < - 6 or - 6 < x < 0 or x > 0

Range : f (x) \leq \frac{- 205 - 5}{18} or f (x) \geq \frac{205 - 5}{18}

Intercepts : None

Asymptotes : Vertical x = - 6, x = 0, Horizontal y = 1

Extreme Points : Maximum (\frac{5 - 205}{6}, - \frac{5 + 205}{18}), Minimum (\frac{5 + 205}{6}, \frac{205 - 5}{18})

+1

Interval Notation

Domain : (- \infty, - 6) \cup (- 6, 0) \cup (0, \infty)

Range : (- \infty, \frac{- 205 - 5}{18}] \cup [\frac{205 - 5}{18}, \infty)

Solution steps

Domain of

\frac{x ^{2} + 5}{x ^{2} + 6 x} : x < - 6 or - 6 < x < 0 or x > 0

Range of

\frac{x ^{2} + 5}{x ^{2} + 6 x} : f (x) \leq \frac{- 205 - 5}{18} or f (x) \geq \frac{205 - 5}{18}

Axis interception points of

\frac{x ^{2} + 5}{x ^{2} + 6 x} :

None

Asymptotes of

\frac{x ^{2} + 5}{x ^{2} + 6 x} :

Vertical

: x = - 6, x = 0,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} + 5}{x ^{2} + 6 x} :

Maximum

(\frac{5 - 205}{6}, - \frac{5 + 205}{18}),

Minimum

(\frac{5 + 205}{6}, \frac{205 - 5}{18})

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Frequently Asked Questions (FAQ)

What is the g(x)=(x^2+5)/(x^2+6x) ?
The g(x)=(x^2+5)/(x^2+6x) is