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

The domain of f(x)=log_{2}(x+2)-3 is x>-2

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

domain

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

x > - 2

Interval Notation

(- 2, \infty)

Solution steps

Find positive values for logs:

x > - 2

The function domain

x > - 2

f (x) = 6 + (ln (x^{2} - 16))^{2}

x^{2} + 2 x + 2

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

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

\frac{2 x - 3}{x + 4}

What is the domain of f(x)=log_{2}(x+2)-3 ?
The domain of f(x)=log_{2}(x+2)-3 is x>-2