What is the domain of 3/(4sqrt(\frac{5+3x){2)}} ?

The domain of 3/(4sqrt(\frac{5+3x){2)}} is x>-5/3

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domain of 3/(4sqrt(\frac{5+3x){2)}}

domain

\frac{3}{4 \frac{5 + 3 x}{2}}

x > - \frac{5}{3}

Interval Notation

(- \frac{5}{3}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - \frac{5}{3}

Find undefined (singularity) points:

x = - \frac{5}{3}

Combine real regions and undefined points for final function domain

x > - \frac{5}{3}

What is the domain of 3/(4sqrt(\frac{5+3x){2)}} ?
The domain of 3/(4sqrt(\frac{5+3x){2)}} is x>-5/3