What is the domain of f(x)=ln(12-5x^2) ?

The domain of f(x)=ln(12-5x^2) is -(2sqrt(3))/(sqrt(5))<x<(2sqrt(3))/(sqrt(5))

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domain of f(x)=ln(12-5x^2)

domain

f (x) = ln (12 - 5 x^{2})

- \frac{2 3}{5} < x < \frac{2 3}{5}

Interval Notation

(- \frac{2 3}{5}, \frac{2 3}{5})

Solution steps

Find positive values for logs:

- \frac{2 3}{5} < x < \frac{2 3}{5}

The function domain

- \frac{2 3}{5} < x < \frac{2 3}{5}

What is the domain of f(x)=ln(12-5x^2) ?
The domain of f(x)=ln(12-5x^2) is -(2sqrt(3))/(sqrt(5))<x<(2sqrt(3))/(sqrt(5))