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

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

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

domain

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

- 2 \leq x < - 1 or x > - 1

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq - 2

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

- 2 \leq x < - 1 or x > - 1

f (x) = \frac{x + a ^{2} - a}{x}

f (x) = \frac{3}{x - 2} + 10

3 x^{3} - 1

f (x) = - 6 t

f (x) = \frac{( x - 1 )}{25 - x ^{2}}

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