What is the domain of f(x)= 2/(sqrt(x+11)-1) ?

The domain of f(x)= 2/(sqrt(x+11)-1) is -11 -10

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domain of f(x)= 2/(sqrt(x+11)-1)

domain

f (x) = \frac{2}{x + 11 - 1}

- 11 \leq x < - 10 or x > - 10

Interval Notation

[- 11, - 10) \cup (- 10, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 11

Find undefined (singularity) points:

x = - 10

Combine real regions and undefined points for final function domain

- 11 \leq x < - 10 or x > - 10

What is the domain of f(x)= 2/(sqrt(x+11)-1) ?
The domain of f(x)= 2/(sqrt(x+11)-1) is -11<= x<-10\lor x>-10