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

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

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

domain

y = \frac{x}{x - 2} + x - 1

1 \leq x < 2 or x > 2

Interval Notation

[1, 2) \cup (2, \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

1 \leq x < 2 or x > 2

f (y) = - 3 y - 2

2 x + 20

f (x) = 18 - 2 x^{2}

(2 x - 5) (9 - x)

x^{2} - 4, x \leq - 2

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