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

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

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

domain

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

x > 4

Interval Notation

(4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x > 4

f (x) = 5 x - 6 y = 21

5 x + 4 y = 24

f (x) = 0.825 x

f (x) = \frac{x ^{2}}{25 - x ^{2}}

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