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

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

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

domain

\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

d o main 2 x + 3 - 5

in v erse f (x) = 4 + lo g_{5} (x - 2)

in v erse f (x) = \frac{1}{x - 3}

d o main f (x) = x^{2} + x + 1

d o main (x + 2)^{2} - 4