en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)= x/(sqrt(3x^2+2x-8))

Solution

f (x) = \frac{x}{3 x ^{2} + 2 x - 8}

Solution

Domain : x < - 2 or x > \frac{4}{3}

Range : f (x) < - \frac{1}{3} or f (x) \geq \frac{2 2}{5}

Intercepts : None

Asymptotes : Vertical x = - 2, x = \frac{4}{3}, Horizontal y = \frac{1}{3}, y = - \frac{1}{3}

Extreme Points : Minimum (8, \frac{2 2}{5})

+1

Interval Notation

Domain : (- \infty, - 2) \cup (\frac{4}{3}, \infty)

Range : (- \infty, - \frac{1}{3}) \cup [\frac{2 2}{5}, \infty)

Solution steps

Domain of

\frac{x}{3 x ^{2} + 2 x - 8} : x < - 2 or x > \frac{4}{3}

Range of

\frac{x}{3 x ^{2} + 2 x - 8} : f (x) < - \frac{1}{3} or f (x) \geq \frac{2 2}{5}

Axis interception points of

\frac{x}{3 x ^{2} + 2 x - 8} :

None

Asymptotes of

\frac{x}{3 x ^{2} + 2 x - 8} :

Vertical

: x = - 2, x = \frac{4}{3},

Horizontal

: y = \frac{1}{3}, y = - \frac{1}{3}

Extreme Points of

\frac{x}{3 x ^{2} + 2 x - 8} :

Minimum

(8, \frac{2 2}{5})

Popular Examples

f(x)=(3x+6)/(x^2+2x-8)

f (x) = \frac{3 x + 6}{x ^{2} + 2 x - 8}

f (x) = \frac{x + 3}{5}

f (x) = x^{3} + 8 x + 16

f(x)=|x+2|+|x-2|-|x|-1

f (x) = ∣ x + 2 ∣ + ∣ x - 2 ∣ - ∣ x ∣ - 1

y=(4x)/(ln(x))+x^2e^{3x}

y = \frac{4 x}{ln ( x )} + x^{2} e^{3 x}

Frequently Asked Questions (FAQ)

What is the f(x)= x/(sqrt(3x^2+2x-8)) ?
The f(x)= x/(sqrt(3x^2+2x-8)) is