What is the domain of (sqrt(x-1))/(x^2-4) ?

The domain of (sqrt(x-1))/(x^2-4) is 1 2

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domain of (sqrt(x-1))/(x^2-4)

domain

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

1 \leq x < 2 or x > 2

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 1

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

1 \leq x < 2 or x > 2

sin (x)

\frac{2 x}{5 - 2 x}

f (x) = 12 x - 4

f (x) = \frac{3 x + 1}{4 x - 3}

ln (3 x)

What is the domain of (sqrt(x-1))/(x^2-4) ?
The domain of (sqrt(x-1))/(x^2-4) is 1<= x<2\lor x>2