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

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

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

domain

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

x > 2

Interval Notation

(2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x > 2

(1, - 3), (5, 7)

\frac{x - 9}{x - 3}

f (x) = \frac{x ^{2} - 12 x + 36}{2 x - 12}

f (x) = - 2 x + 6

f (x) = \frac{x + 7}{x - 6}

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