What is the domain of-1/(2sqrt(7-x)) ?

The domain of-1/(2sqrt(7-x)) is x<7

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domain of-1/(2sqrt(7-x))

domain

- \frac{1}{2 7 - x}

x < 7

Interval Notation

(- \infty, 7)

Solution steps

Find non-negative values for radicals:

x \leq 7

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

x < 7

d o main \frac{x - 6}{x ^{2} - 25}

d o main f (x) = - 4 x^{2} + 12

in v erse f (x) = - 2 x + 10

s l o p e in t erce pt y - 4 = \frac{4}{5} (x - 1)

in t erce pt s f (x) = 3 x^{4} + 4 x^{3} + 6 x^{2} - 4