en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=(x-3)/(x^2+3x)

Solution

y = \frac{x - 3}{x ^{2} + 3 x}

Solution

Domain : x < - 3 or - 3 < x < 0 or x > 0

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

X Intercepts : (3, 0)

Asymptotes : Vertical x = - 3, x = 0, Horizontal y = 0

Extreme Points : Minimum (- 3 (2 - 1), \frac{3 + 2 2}{3}), Maximum (3 (1 + 2), \frac{3 - 2 2}{3})

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 0) \cup (0, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

\frac{x - 3}{x ^{2} + 3 x} :

X Intercepts

: (3, 0)

Asymptotes of

\frac{x - 3}{x ^{2} + 3 x} :

Vertical

: x = - 3, x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{x - 3}{x ^{2} + 3 x} :

Minimum

(- 3 (2 - 1), \frac{3 + 2 2}{3}),

Maximum

(3 (1 + 2), \frac{3 - 2 2}{3})

Graph

Popular Examples

y=(2(x-2)^2(x+3))/((x-1)^2(x-2))

y = \frac{2 ( x - 2 ) ^{2} ( x + 3 )}{( x - 1 ) ^{2} ( x - 2 )}

f(x)=2x^4+9x^3-5x^2+57x-45

f (x) = 2 x^{4} + 9 x^{3} - 5 x^{2} + 57 x - 45

f(x)=sqrt(7x+5)

f (x) = 7 x + 5

f(x)=1-sqrt(x^2-4)

f (x) = 1 - x^{2} - 4

y = - \frac{1}{7} x + 1

Frequently Asked Questions (FAQ)

What is the y=(x-3)/(x^2+3x) ?
The y=(x-3)/(x^2+3x) is