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

The domain of f(x)=-sqrt((x^2)/(x-1)) is x=0\lor x>1

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

domain

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

x = 0 or x > 1

Interval Notation

x = 0 \cup (1, \infty)

Solution steps

Find non-negative values for radicals:

x = 0 or x > 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x = 0 or x > 1

(5 x - 2) + (4 x + 1)

f (x) = - 4 x - 1

f (x) = ln (\frac{x ^{4}}{x + 2})

f (x) = - 4 x - 2

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

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