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Popular >

f(x)=((x-1)^{2/3})/(x^2)

Solution

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

Solution

Domain : x < 0 or x > 0

X Intercepts : (1, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Minimum (1, 0), Maximum (\frac{3}{2}, \frac{2 \cdot 2 ^{\frac{1}{3}}}{9})

+1

Interval Notation

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

Solution steps

Domain of

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

Axis interception points of

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

X Intercepts

: (1, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Minimum

(1, 0),

Maximum

(\frac{3}{2}, \frac{2 \cdot 2 ^{\frac{1}{3}}}{9})

Popular Examples

g (x) = x^{2} + 4 x^{3}

f(x)=(x^2)/(x+4)

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

f (x) = cos^{2} (7 x)

y=(x+1)(x-1)(x-3)

y = (x + 1) (x - 1) (x - 3)

y=x^3-6x^2+5x+2

y = x^{3} - 6 x^{2} + 5 x + 2

Frequently Asked Questions (FAQ)

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