en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=((4-x)^3)/((3+2x)^2)

Solution

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

Solution

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

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

X Intercepts : (4, 0), Y Intercepts : (0, \frac{64}{9})

Asymptotes : Vertical x = - \frac{3}{2}, Slant y = - \frac{1}{4} x + \frac{15}{4}

Extreme Points : Minimum (- \frac{25}{2}, \frac{297}{32}), Saddle (4, 0)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{( 4 - x ) ^{3}}{( 3 + 2 x ) ^{2}} : - \infty < f (x) < \infty

Axis interception points of

\frac{( 4 - x ) ^{3}}{( 3 + 2 x ) ^{2}} :

X Intercepts

: (4, 0),

Y Intercepts

: (0, \frac{64}{9})

Asymptotes of

\frac{( 4 - x ) ^{3}}{( 3 + 2 x ) ^{2}} :

Vertical

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

Slant

: y = - \frac{1}{4} x + \frac{15}{4}

Extreme Points of

\frac{( 4 - x ) ^{3}}{( 3 + 2 x ) ^{2}} :

Minimum

(- \frac{25}{2}, \frac{297}{32}),

Saddle

(4, 0)

Popular Examples

g (x) = 3^{x} + 2

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

y = x^{2} x + 1

f(x)=7x-125-6x^4+14x^2

f (x) = 7 x - 125 - 6 x^{4} + 14 x^{2}

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

Frequently Asked Questions (FAQ)

What is the y=((4-x)^3)/((3+2x)^2) ?
The y=((4-x)^3)/((3+2x)^2) is