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

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

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

domain

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

x > 3

Interval Notation

(3, \infty)

Solution steps

Find positive values for logs:

x > 3

The function domain

x > 3

f (x) = \frac{4}{( 2 x + 7 ) + 3}

f (x) = lo g_{e} (9 - x^{2})

f (x) = 5 \cdot 1 - x - 3, x > - 8

(x - 8)^{2} + 5

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

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