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

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

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

domain

\frac{2 x}{x - 1}

x > 1

Interval Notation

(1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x > 1

f (x) = (x - 2) + 5

f (x) = \frac{( 6 x - 2 )}{( 3 x + 9 )}

\frac{x ^{2} - 81}{8 x + 9}

f (x) = \frac{4}{( x ^{2} - 16 )}

f (x) = e^{x - 5}

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