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

The domain of f(x)=log_{2}(2x-1/2) is x> 1/4

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

domain

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

x > \frac{1}{4}

Interval Notation

(\frac{1}{4}, \infty)

Solution steps

Find positive values for logs:

x > \frac{1}{4}

The function domain

x > \frac{1}{4}

g (x) = x^{2} - 4 x

f (x) = 6 x^{2} + 500 x + 8000

f (x) = lo g_{2} (\frac{2}{3} x - 4)

f (x) = lo g_{2} (x^{2} - 6 x + 8)

f (x) = 10 - 2 x + 3 x - 1

What is the domain of f(x)=log_{2}(2x-1/2) ?
The domain of f(x)=log_{2}(2x-1/2) is x> 1/4