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

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

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

domain

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

x < 10

Interval Notation

(- \infty, 10)

Solution steps

Find non-negative values for radicals:

x \leq 10

Find undefined (singularity) points:

x = 10

Combine real regions and undefined points for final function domain

x < 10

f (x) = 64 - x^{2}

(5, 1), (9, 4)

- \frac{3}{x + 2}

f (x) = 3 x^{4} + 12 x^{3}

f (x) = \frac{( 2 x + 1 )}{5}

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