What is the domain of f(x)= 1/(2sqrt(6-x)) ?

The domain of f(x)= 1/(2sqrt(6-x)) is x<6

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domain of f(x)= 1/(2sqrt(6-x))

domain

f (x) = \frac{1}{2 6 - x}

x < 6

Interval Notation

(- \infty, 6)

Solution steps

Find non-negative values for radicals:

x \leq 6

Find undefined (singularity) points:

x = 6

Combine real regions and undefined points for final function domain

x < 6

\frac{5 x}{x - 4}

y = 2 x^{2} + 8 x + 9

(- 2, 3), (4, - 1)

5 x - 30

(3, - 3), (1, 5)

What is the domain of f(x)= 1/(2sqrt(6-x)) ?
The domain of f(x)= 1/(2sqrt(6-x)) is x<6