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

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

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

domain

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

x > 3

Interval Notation

(3, \infty)

Solution steps

Find positive values for logs:

x > 3

The function domain

x > 3

f (x) = \frac{12}{x - 6}

f (x) = \frac{1}{( x - 4 ) ^{2}}

R (n) = \frac{n + 1}{n ^{2} - 6 n + 8}

9 - 25 x^{2}

f (x) = 8 - 2 x^{2}

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