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Popular >

f(x)=(4x)/(3(x^2-4)^{1/3)}

Solution

f (x) = \frac{4 x}{3 ( x ^{2} - 4 ) ^{\frac{1}{3}}}

Solution

Domain : x < - 2 or - 2 < x < 2 or x > 2

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - 2, x = 2

Extreme Points : Maximum (- 23, - \frac{4}{3 ^{\frac{1}{2}}}), Minimum (23, \frac{4}{3 ^{\frac{1}{2}}})

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Solution steps

Domain of

\frac{4 x}{3 ( x ^{2} - 4 ) ^{\frac{1}{3}}} : x < - 2 or - 2 < x < 2 or x > 2

Axis interception points of

\frac{4 x}{3 ( x ^{2} - 4 ) ^{\frac{1}{3}}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{4 x}{3 ( x ^{2} - 4 ) ^{\frac{1}{3}}} :

Vertical

: x = - 2, x = 2

Extreme Points of

\frac{4 x}{3 ( x ^{2} - 4 ) ^{\frac{1}{3}}} :

Maximum

(- 23, - \frac{4}{3 ^{\frac{1}{2}}}),

Minimum

(23, \frac{4}{3 ^{\frac{1}{2}}})

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Frequently Asked Questions (FAQ)

What is the f(x)=(4x)/(3(x^2-4)^{1/3)} ?
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