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

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

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

domain

f (x) = \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

y = - tan (\frac{3}{2}) (x - \frac{π}{3}) + 5

f (x) = ln (3 - ln (x))

(\frac{1}{4})^{x}

y = - sec (\frac{1}{2}) (x + \frac{3 π}{2}) - 1

3 x^{2} - 2

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