What is the domain of f(x)= 1/(sqrt(10-x)) ?

The domain of f(x)= 1/(sqrt(10-x)) is x<10

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domain of f(x)= 1/(sqrt(10-x))

domain

f (x) = \frac{1}{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) = \frac{1}{3 x + 4}

f (x) = \frac{2 x - 3}{x ( x + 1 )}

f (x) = \frac{1}{3 x + 2}

f (x) = \frac{sin ( x ) + 1}{x - 1}

y = 4^{x + 1}

What is the domain of f(x)= 1/(sqrt(10-x)) ?
The domain of f(x)= 1/(sqrt(10-x)) is x<10