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

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

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

domain

y = \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^{2} + 4 x

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

∣ 2 x ∣

f (x) = 7 x - 9

\frac{x - 3}{x - 5}

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