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

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

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

domain

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

x > 3

Interval Notation

(3, \infty)

Solution steps

Find positive values for logs:

x > 3

The function domain

x > 3

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

\frac{1 - x ^{2}}{x}

\frac{2 + x ^{2}}{1 - x ^{2}}

f (x) = \frac{x - 5}{x - 2}

f (x) = 4^{x - 1}

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