What is the domain of f(x)=log_{6}(x-3) ?

The domain of f(x)=log_{6}(x-3) is x>3

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domain of f(x)=log_{6}(x-3)

domain

f (x) = lo g_{6} (x - 3)

x > 3

Interval Notation

(3, \infty)

Solution steps

Find positive values for logs:

x > 3

The function domain

x > 3

cr i t i c a l f (x) = \frac{x ^{2}}{4 x + 4}

a sy m pt o t es f (x) = \frac{2 x ^{2} + 1}{3 x ^{2} - 5}

in v erse - 2 x^{2} + 12 x - 14

e x t re m e f (x) = 2 - 3 x^{2} - x^{3}

e x t re m e f (x) = x e^{- 3 x}

What is the domain of f(x)=log_{6}(x-3) ?
The domain of f(x)=log_{6}(x-3) is x>3