What is the domain of f(x)=(x-2)/(sqrt(5x+1/2)) ?

The domain of f(x)=(x-2)/(sqrt(5x+1/2)) is x>-1/10

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domain of f(x)=(x-2)/(sqrt(5x+1/2))

domain

f (x) = \frac{x - 2}{5 x + \frac{1}{2}}

x > - \frac{1}{10}

Interval Notation

(- \frac{1}{10}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - \frac{1}{10}

Find undefined (singularity) points:

x = - \frac{1}{10}

Combine real regions and undefined points for final function domain

x > - \frac{1}{10}

What is the domain of f(x)=(x-2)/(sqrt(5x+1/2)) ?
The domain of f(x)=(x-2)/(sqrt(5x+1/2)) is x>-1/10