What is the domain of f(x)=log_{4}(x^2-4) ?

The domain of f(x)=log_{4}(x^2-4) is x 2

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domain of f(x)=log_{4}(x^2-4)

domain

f (x) = lo g_{4} (x^{2} - 4)

x < - 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (2, \infty)

Solution steps

Find positive values for logs:

x < - 2 or x > 2

The function domain

x < - 2 or x > 2

\frac{x - 4}{x - 6}

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

8 - x

3 \cdot x^{\frac{2}{3}} - 2 x

\frac{x ^{2}}{1 + x}

What is the domain of f(x)=log_{4}(x^2-4) ?
The domain of f(x)=log_{4}(x^2-4) is x<-2\lor x>2