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

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

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

domain

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

- 2 < x < 2

Interval Notation

(- 2, 2)

Solution steps

Find positive values for logs:

- 2 < x < 2

The function domain

- 2 < x < 2

14

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

f (x) = \frac{x + 4}{x - 6}

- 3 x^{2} + 12 x - 4

\frac{1}{x ^{3}}

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