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

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

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

domain

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

x \geq 1

Interval Notation

[1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 1

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x \geq 1

f (x) = - 5 x^{2} - 4

f (x) = 3 - 4 - x^{2}

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

\frac{2 ^{4 x - 1} \cdot 3 ^{x - 2}}{1 2 ^{x - 2}}

lo g_{2} (x^{2} - 1)

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