What is the domain of f(x)=x^2ln(8-3x^2) ?

The domain of f(x)=x^2ln(8-3x^2) is -(2sqrt(2))/(sqrt(3))<x<(2sqrt(2))/(sqrt(3))

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domain of f(x)=x^2ln(8-3x^2)

domain

- \frac{2 2}{3} < x < \frac{2 2}{3}

Interval Notation

(- \frac{2 2}{3}, \frac{2 2}{3})

Solution steps

Find positive values for logs:

- \frac{2 2}{3} < x < \frac{2 2}{3}

The function domain

- \frac{2 2}{3} < x < \frac{2 2}{3}

What is the domain of f(x)=x^2ln(8-3x^2) ?
The domain of f(x)=x^2ln(8-3x^2) is -(2sqrt(2))/(sqrt(3))<x<(2sqrt(2))/(sqrt(3))