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

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

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

domain

\frac{1}{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{x ^{2} + 4 x + 6}{3 x ^{2} + 12 x + 12}

y = - x - 4

x + x + 9

2 x - 2 y = 14

(- 5, 4), (1, 6)