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Popular >

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

Solution

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

Solution

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

Range : f (x) < 0 or f (x) > 0

X Intercepts : (\frac{1}{2}, 0), Y Intercepts : (0, \frac{1}{8})

Asymptotes : Vertical x = - \frac{2}{3}, Horizontal y = 0

Extreme Points : Minimum (\frac{1}{2}, 0), Maximum (\frac{17}{6}, \frac{32}{1701})

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Interval Notation

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

Range : (- \infty, 0) \cup (0, \infty)

Solution steps

Domain of

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

Range of

\frac{( 2 x - 1 ) ^{2}}{( 3 x + 2 ) ^{3}} : f (x) < 0 or f (x) > 0

Axis interception points of

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

X Intercepts

: (\frac{1}{2}, 0),

Y Intercepts

: (0, \frac{1}{8})

Asymptotes of

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

Vertical

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(\frac{1}{2}, 0),

Maximum

(\frac{17}{6}, \frac{32}{1701})

Popular Examples

f(x)=((2x+3))/((-x+4))

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

f(x)=6x^4+5x^3-3x+1

f (x) = 6 x^{4} + 5 x^{3} - 3 x + 1

y=((ln(x)))/((x^2))

y = \frac{( ln ( x ) )}{( x ^{2} )}

y=cot(x)+sin^2(x)

y = cot (x) + sin^{2} (x)

y = \frac{1}{2 \cdot x + 1}

Frequently Asked Questions (FAQ)

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