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

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

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

domain

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

x < - 2 or - 2 < x < 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 2

The function domain

x < - 2 or - 2 < x < 2 or x > 2

f (x) = (x - 3)^{- \frac{1}{4}}

ln (x + 7)

ln (x + 8)

f (x) = \frac{3 x - 2}{3 x + 1}

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

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