What is the domain of (x+2)/(sqrt(11-x)) ?

The domain of (x+2)/(sqrt(11-x)) is x<11

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domain of (x+2)/(sqrt(11-x))

domain

\frac{x + 2}{11 - x}

x < 11

Interval Notation

(- \infty, 11)

Solution steps

Find non-negative values for radicals:

x \leq 11

Find undefined (singularity) points:

x = 11

Combine real regions and undefined points for final function domain

x < 11

f (x) = 6 lo g_{2} (x - 8) - 6

\frac{x ^{2} - 1}{x - 8}

y = (5 x + 5)^{2}

3 x + 3

x + 12

What is the domain of (x+2)/(sqrt(11-x)) ?
The domain of (x+2)/(sqrt(11-x)) is x<11