What is the domain of f(x)=(x-5)/(sqrt(x-2)) ?

The domain of f(x)=(x-5)/(sqrt(x-2)) is x>2

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domain of f(x)=(x-5)/(sqrt(x-2))

domain

f (x) = \frac{x - 5}{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

f (x) = x + 1

\frac{x}{1 + x ^{2}}

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

y = \frac{x ^{2} - 7 x - 8}{x + 6}

f (x) = - 5 x^{4} - 45 x^{2}

What is the domain of f(x)=(x-5)/(sqrt(x-2)) ?
The domain of f(x)=(x-5)/(sqrt(x-2)) is x>2