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

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

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

domain

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

x > 2

Interval Notation

(2, \infty)

Solution steps

Find positive values for logs:

x > 2

The function domain

x > 2

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

f (x) = \frac{x ^{2} - 10 x - 56}{2 x ^{2} + 8 x}

f (t) = t + 2

f (x) = \frac{6 x}{5 x - 2}

f (x) = \frac{( 12 - x - x ^{2} )}{x + 2}

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