What is the domain of f(x)=log_{3}(x+3)-1 ?

The domain of f(x)=log_{3}(x+3)-1 is x>-3

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domain of f(x)=log_{3}(x+3)-1

domain

f (x) = lo g_{3} (x + 3) - 1

x > - 3

Interval Notation

(- 3, \infty)

Solution steps

Find positive values for logs:

x > - 3

The function domain

x > - 3

f (x) = 4 x + \frac{5}{3} + 2

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

f (x) = lo g_{\frac{2}{x}} (3^{x})

f (x) = (x + 9)^{\frac{1}{4}}

\frac{x ^{2} - 16}{x - 3}

What is the domain of f(x)=log_{3}(x+3)-1 ?
The domain of f(x)=log_{3}(x+3)-1 is x>-3