What is the domain of g(x)=sqrt(4x-2) ?

The domain of g(x)=sqrt(4x-2) is x>= 1/2

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domain of g(x)=sqrt(4x-2)

domain

g (x) = 4 x - 2

x \geq \frac{1}{2}

Interval Notation

[\frac{1}{2}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq \frac{1}{2}

The function domain

x \geq \frac{1}{2}

f (x) = \frac{x ^{2} - 4}{x - 4}

f (x) = 1 + 6 sec^{2} (\frac{x}{5})

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

f (x) = \frac{( x - 3 )}{( x - 7 )}

x^{\frac{1}{3}}

What is the domain of g(x)=sqrt(4x-2) ?
The domain of g(x)=sqrt(4x-2) is x>= 1/2