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

in v erse f (x) = 6 4^{x - 17}

d o main f (x) = 3 x - 4

mi d p o in t (8, - 8), (- 4, - 2)

d o main \frac{3 x ^{2}}{x ^{2} - 4}

r an g e \frac{3 x ^{2} - 3}{x ^{2} + x - 6}