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Popular >

h(x)=(x+3)/(x(x+2))

Solution

h (x) = \frac{x + 3}{x ( x + 2 )}

Solution

Domain : x < - 2 or - 2 < x < 0 or x > 0

Range : f (x) \leq - \frac{3}{2} - 1 or f (x) \geq \frac{3}{2} - 1

X Intercepts : (- 3, 0)

Asymptotes : Vertical x = - 2, x = 0, Horizontal y = 0

Extreme Points : Minimum (- 3 - 3, - \frac{2 - 3}{2}), Maximum (- 3 + 3, - \frac{3 + 2}{2})

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 0) \cup (0, \infty)

Range : (- \infty, - \frac{3}{2} - 1] \cup [\frac{3}{2} - 1, \infty)

Solution steps

Domain of

\frac{x + 3}{x ( x + 2 )} : x < - 2 or - 2 < x < 0 or x > 0

Range of

\frac{x + 3}{x ( x + 2 )} : f (x) \leq - \frac{3}{2} - 1 or f (x) \geq \frac{3}{2} - 1

Axis interception points of

\frac{x + 3}{x ( x + 2 )} :

X Intercepts

: (- 3, 0)

Asymptotes of

\frac{x + 3}{x ( x + 2 )} :

Vertical

: x = - 2, x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{x + 3}{x ( x + 2 )} :

Minimum

(- 3 - 3, - \frac{2 - 3}{2}),

Maximum

(- 3 + 3, - \frac{3 + 2}{2})

Graph

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Frequently Asked Questions (FAQ)

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