What is the domain of f(x)=-1+log_{2}(x-5) ?

The domain of f(x)=-1+log_{2}(x-5) is x>5

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domain of f(x)=-1+log_{2}(x-5)

domain

f (x) = - 1 + lo g_{2} (x - 5)

x > 5

Interval Notation

(5, \infty)

Solution steps

Find positive values for logs:

x > 5

The function domain

x > 5

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

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

f (x) = \frac{2 x + 6}{3 x + 2}

f (x) = x (5 - 2 x) (10 - 2 x)

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

What is the domain of f(x)=-1+log_{2}(x-5) ?
The domain of f(x)=-1+log_{2}(x-5) is x>5