What is the domain of 5/(sqrt(x+15)-2) ?

The domain of 5/(sqrt(x+15)-2) is -15 -11

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domain of 5/(sqrt(x+15)-2)

domain

\frac{5}{x + 15 - 2}

- 15 \leq x < - 11 or x > - 11

Interval Notation

[- 15, - 11) \cup (- 11, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 15

Find undefined (singularity) points:

x = - 11

Combine real regions and undefined points for final function domain

- 15 \leq x < - 11 or x > - 11

f (x) = 6

3 x - 9 x^{\frac{1}{3}}

sin (x - \frac{π}{2}) + 2

f (x) = ln (4000 - x^{2}) + sin (x^{100})

f (x) = 9

What is the domain of 5/(sqrt(x+15)-2) ?
The domain of 5/(sqrt(x+15)-2) is -15<= x<-11\lor x>-11