What is the domain of-1/(2(5+x)^{3/2)} ?

The domain of-1/(2(5+x)^{3/2)} is x>-5

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domain of-1/(2(5+x)^{3/2)}

domain

- \frac{1}{2 ( 5 + x ) ^{\frac{3}{2}}}

x > - 5

Interval Notation

(- 5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

x > - 5

y = (x + 4) - 6

f (x) = \frac{9}{x - 7}

u (x) = 2 - x

+ 20 x - 4

- \frac{1}{2} + \frac{2}{3} - 2 x^{2}