What is the domain of f(x)=(30x^2)/((6-5x^3)^3) ?

The domain of f(x)=(30x^2)/((6-5x^3)^3) is x \sqrt[3]{6/5}

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domain of f(x)=(30x^2)/((6-5x^3)^3)

domain

f (x) = \frac{30 x ^{2}}{( 6 - 5 x ^{3} ) ^{3}}

Interval Notation

Solution steps

Find undefined (singularity) points:

The function domain

y = 2 x^{3} - 12 x^{2} + 10 x + 10

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

f (x) = x^{3} - 4

lo g_{3} (x - 1) + 2

(- 7, 1), (5, - 7)

What is the domain of f(x)=(30x^2)/((6-5x^3)^3) ?
The domain of f(x)=(30x^2)/((6-5x^3)^3) is x<\sqrt[3]{6/5}\lor x>\sqrt[3]{6/5}