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

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

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

domain

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

y = 5 (x - 4) + 45

f (x) = x^{2} - 8 x - 7

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

x^{2} - 18 x + 82

f (x) = \frac{x ^{3} + 2 x ^{2} - 15 x}{18 x - 2 x ^{3}}

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