What is the domain of 1/(2sqrt(8-x)) ?

The domain of 1/(2sqrt(8-x)) is x<8

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domain of 1/(2sqrt(8-x))

domain

\frac{1}{2 8 - x}

x < 8

Interval Notation

(- \infty, 8)

Solution steps

Find non-negative values for radicals:

x \leq 8

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

x < 8

p a r i t y f (x) = x^{2} ∣ x ∣ + 8

in v erse f (x) = (18 - x)^{\frac{1}{4}}

d o main f (x) = \frac{1}{3} x - 4

d o main f (x) = \frac{x + 2}{x + 7}

in v erse f (x) = \frac{2 x - 3}{5 x - 1}