What is the domain of f(x)= 1/(sqrt(x-4)) ?

The domain of f(x)= 1/(sqrt(x-4)) is x>4

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domain of f(x)= 1/(sqrt(x-4))

domain

f (x) = \frac{1}{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

in t erce pt s f (x) = 4 x

d o main 7 - 2 x

mi d p o in t (- \frac{7}{2}, \frac{1}{3}), (\frac{1}{2}, \frac{10}{3})

r an g e 6 x + 2

in f l ec t i o n f (x) = x^{2} \cdot ln (\frac{x}{2})

What is the domain of f(x)= 1/(sqrt(x-4)) ?
The domain of f(x)= 1/(sqrt(x-4)) is x>4