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

The domain of f(x)=(2x)/(sqrt(x)-1) is 0 1

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

domain

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

0 \leq x < 1 or x > 1

Interval Notation

[0, 1) \cup (1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

0 \leq x < 1 or x > 1

f (x) = x [n] = 5 sin (2 n)

f (x) = \frac{x}{x - 3}

(5, - 3), (7, 3)

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

g (x) = x - 9

What is the domain of f(x)=(2x)/(sqrt(x)-1) ?
The domain of f(x)=(2x)/(sqrt(x)-1) is 0<= x<1\lor x>1