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Popular >

g(x)= x/(x^2+4x)

Solution

g (x) = \frac{x}{x ^{2} + 4 x}

Solution

Domain : x < - 4 or - 4 < x < 0 or x > 0

Range : f (x) < 0 or 0 < f (x) < \frac{1}{4} or f (x) > \frac{1}{4}

Intercepts : None

Asymptotes : Vertical x = - 4, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, 0) \cup (0, \infty)

Range : (- \infty, 0) \cup (0, \frac{1}{4}) \cup (\frac{1}{4}, \infty)

Solution steps

Domain of

\frac{x}{x ^{2} + 4 x} : x < - 4 or - 4 < x < 0 or x > 0

Range of

\frac{x}{x ^{2} + 4 x} : f (x) < 0 or 0 < f (x) < \frac{1}{4} or f (x) > \frac{1}{4}

Axis interception points of

\frac{x}{x ^{2} + 4 x} :

None

Asymptotes of

\frac{x}{x ^{2} + 4 x} :

Vertical

: x = - 4,

Horizontal

: y = 0

Extreme Points of

\frac{x}{x ^{2} + 4 x} :

None

Graph

Popular Examples

f(x)=(x-1)(x-1)(x+7)

f (x) = (x - 1) (x - 1) (x + 7)

y = 3 cos (2 t)

y = \frac{5 - x}{3 x - 4}

f (x) = cos (4 x) d x

f (x) = 2 + 4 x - 8 x^{4}

Frequently Asked Questions (FAQ)

What is the g(x)= x/(x^2+4x) ?
The g(x)= x/(x^2+4x) is