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

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

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

domain

f (x) = \frac{x - 4}{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

x x + 3

- x^{2} - 4

f (x) = \frac{x ^{2} - 9 x + 14}{x ^{2} - 5 x + 6}

f (x) = x^{2} - 3 x + 5

\frac{x - 1}{( x + 2 ) ( x - 3 )}

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