What is the domain of f(x)=(11)/(sqrt(x^2-100)) ?

The domain of f(x)=(11)/(sqrt(x^2-100)) is x 10

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domain of f(x)=(11)/(sqrt(x^2-100))

domain

f (x) = \frac{11}{x ^{2} - 100}

x < - 10 or x > 10

Interval Notation

(- \infty, - 10) \cup (10, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 10 or x \geq 10

Find undefined (singularity) points:

x = 10, x = - 10

Combine real regions and undefined points for final function domain

x < - 10 or x > 10

x^{2} + 1, x < 0

4 x + 1 - x

f (x) = \frac{3 ( x + 7 ) \cdot ( x - 2 )}{( x - 3 )}

f (x) = 2^{x} - 7

\frac{x}{3 x + 5}

What is the domain of f(x)=(11)/(sqrt(x^2-100)) ?
The domain of f(x)=(11)/(sqrt(x^2-100)) is x<-10\lor x>10