What is the domain of f(x)=ln(-x^2+4) ?

The domain of f(x)=ln(-x^2+4) is -2<x<2

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domain of f(x)=ln(-x^2+4)

domain

f (x) = ln (- x^{2} + 4)

- 2 < x < 2

Interval Notation

(- 2, 2)

Solution steps

Find positive values for logs:

- 2 < x < 2

The function domain

- 2 < x < 2

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

f (x) = \frac{3}{( x ^{2} - 9 )}

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

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

x^{2} - 4 x - 5