What is the domain of (3/(x-2))(sqrt(x-1)) ?

The domain of (3/(x-2))(sqrt(x-1)) is 1 2

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domain of (3/(x-2))(sqrt(x-1))

domain

(\frac{3}{x - 2}) (x - 1)

1 \leq x < 2 or x > 2

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

1 \leq x < 2 or x > 2

x + 3 y = - 3

11 x + 1

(0, 4), (0.002224, 20)

\frac{x - 3}{x - 7}

cos (\frac{1}{5} x)

What is the domain of (3/(x-2))(sqrt(x-1)) ?
The domain of (3/(x-2))(sqrt(x-1)) is 1<= x<2\lor x>2