What is the domain of f(x)=-(10)/(sqrt(x-8)) ?

The domain of f(x)=-(10)/(sqrt(x-8)) is x>8

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domain of f(x)=-(10)/(sqrt(x-8))

domain

f (x) = - \frac{10}{x - 8}

x > 8

Interval Notation

(8, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 8

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

x > 8

x - 4 = 0

∣ x - 5 ∣

f (x) = 7 x - 14

3 x + 8 y = 15

What is the domain of f(x)=-(10)/(sqrt(x-8)) ?
The domain of f(x)=-(10)/(sqrt(x-8)) is x>8