What is the domain of-1/(2sqrt(-x+9)) ?

The domain of-1/(2sqrt(-x+9)) is x<9

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domain of-1/(2sqrt(-x+9))

domain

- \frac{1}{2 - x + 9}

x < 9

Interval Notation

(- \infty, 9)

Solution steps

Find non-negative values for radicals:

x \leq 9

Find undefined (singularity) points:

x = 9

Combine real regions and undefined points for final function domain

x < 9

x^{2} + 4 x + 7

\frac{8}{x}

f (x) = \frac{- 4 x ^{2} - 2 x + 3}{2 x + 1}

f (x) = x^{8}

(0, 0), (2, 6)