What is the domain of f(x)=log_{x-3}(x^2-4) ?

The domain of f(x)=log_{x-3}(x^2-4) is 3 4

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domain of f(x)=log_{x-3}(x^2-4)

domain

f (x) = lo g_{x - 3} (x^{2} - 4)

3 < x < 4 or x > 4

Interval Notation

(3, 4) \cup (4, \infty)

Solution steps

Check logs domain:

3 < x < 4 or x > 4

The function domain

3 < x < 4 or x > 4

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

f (x) = e^{1 - 4 x^{- 3}}

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

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

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

What is the domain of f(x)=log_{x-3}(x^2-4) ?
The domain of f(x)=log_{x-3}(x^2-4) is 3<x<4\lor x>4