What is the domain of f(x)=(1-sqrt(x-4))/(x^2-1) ?

The domain of f(x)=(1-sqrt(x-4))/(x^2-1) is x>= 4

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domain of f(x)=(1-sqrt(x-4))/(x^2-1)

domain

f (x) = \frac{1 - x - 4}{x ^{2} - 1}

x \geq 4

Interval Notation

[4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 1, x = - 1

Combine real regions and undefined points for final function domain

x \geq 4

What is the domain of f(x)=(1-sqrt(x-4))/(x^2-1) ?
The domain of f(x)=(1-sqrt(x-4))/(x^2-1) is x>= 4