What is the domain of f(x)= 6/(sqrt(6x-2)) ?

The domain of f(x)= 6/(sqrt(6x-2)) is x> 1/3

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domain of f(x)= 6/(sqrt(6x-2))

domain

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

x > \frac{1}{3}

Interval Notation

(\frac{1}{3}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq \frac{1}{3}

Find undefined (singularity) points:

x = \frac{1}{3}

Combine real regions and undefined points for final function domain

x > \frac{1}{3}

- \frac{- x}{2}

f (x) = - 2 x^{2} + 5 x + 3

e^{\frac{π}{2}} - e^{a r c t a n (1 + x^{2})}

f (x) = 2 x^{2} + 5 x - 6

What is the domain of f(x)= 6/(sqrt(6x-2)) ?
The domain of f(x)= 6/(sqrt(6x-2)) is x> 1/3