What is the domain of 5/(2sqrt(5x+6)) ?

The domain of 5/(2sqrt(5x+6)) is x>-6/5

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domain of 5/(2sqrt(5x+6))

domain

x > - \frac{6}{5}

Interval Notation

(- \frac{6}{5}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - \frac{6}{5}

Find undefined (singularity) points:

x = - \frac{6}{5}

Combine real regions and undefined points for final function domain

x > - \frac{6}{5}