What is the domain of f(x)=(2x)/(6-x^2) ?

The domain of f(x)=(2x)/(6-x^2) is x sqrt(6)

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domain of f(x)=(2x)/(6-x^2)

domain

f (x) = \frac{2 x}{6 - x ^{2}}

x < - 6 or - 6 < x < 6 or x > 6

Interval Notation

(- \infty, - 6) \cup (- 6, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 6

The function domain

x < - 6 or - 6 < x < 6 or x > 6

What is the domain of f(x)=(2x)/(6-x^2) ?
The domain of f(x)=(2x)/(6-x^2) is x<-sqrt(6)\lor-sqrt(6)<x<sqrt(6)\lor x>sqrt(6)