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

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

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

domain

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

x > - 1

Interval Notation

(- 1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 1

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x > - 1

x^{3} + x - 1

\frac{3 x}{( 8 - x )}

f (x) = \frac{- 6 x + 12}{3 x + 4}

f (x) = x^{4} e^{- x}

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