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

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

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domain of f(x)=(sqrt(x-1))/(sqrt(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) = x^{2} - 2 x

5 - x^{2}

\frac{x + 6}{6 x + 42}

\frac{3 x + 2}{x ^{2}}

f (x) = \frac{2 x}{x ^{2} - 9}

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