en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

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

Range : - \infty < f (x) < \infty

X Intercepts : (1, 0), Y Intercepts : (0, - \frac{1}{3})

Asymptotes : Vertical x = - \frac{3}{2}

Extreme Points : Minimum (- 2.34121 \dots, 8.22196 \dots)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3} - 1}{2 x + 3} : x < - \frac{3}{2} or x > - \frac{3}{2}

Range of

\frac{x ^{3} - 1}{2 x + 3} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{3} - 1}{2 x + 3} :

X Intercepts

: (1, 0),

Y Intercepts

: (0, - \frac{1}{3})

Asymptotes of

\frac{x ^{3} - 1}{2 x + 3} :

Vertical

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

Extreme Points of

\frac{x ^{3} - 1}{2 x + 3} :

Minimum

(- 2.34121 \dots, 8.22196 \dots)

Popular Examples

derivative of (1+3x^2)(x-x^2)derivative of

(1 + 3 x^{2}) (x - x^{2})

integral of \sqrt[3]{8x^7}

limit as x approaches 2 of x^2-3x+5

x \to 2 lim (x^{2} - 3 x + 5)

(\frac{4}{x})^{^{'}}

integral of (e^x-e^{-x})/2

\int \frac{e ^{x} - e ^{- x}}{2} d x

Frequently Asked Questions (FAQ)

What is the f(x)=(x^3-1)/(2x+3) ?
The f(x)=(x^3-1)/(2x+3) is