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

The domain of x-2+(x^2)/(sqrt(x^2-9)) is x 3

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

domain

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

x < - 3 or x > 3

Interval Notation

(- \infty, - 3) \cup (3, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 3 or x \geq 3

Find undefined (singularity) points:

x = 3, x = - 3

Combine real regions and undefined points for final function domain

x < - 3 or x > 3

f (x) = \frac{( 3 x ^{2} - 2 x + 7 )}{2 x + 5}

f (x) = \frac{9}{x + 2}

f (x) = 16 + x^{2} - x + 1

f (x) = - 2^{x} + 1

f (x) = \frac{x ^{2}}{x ^{2} - 9}

What is the domain of x-2+(x^2)/(sqrt(x^2-9)) ?
The domain of x-2+(x^2)/(sqrt(x^2-9)) is x<-3\lor x>3