What is the domain of 3^{2/(x^2-4)}+1 ?

The domain of 3^{2/(x^2-4)}+1 is x 2

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domain of 3^{2/(x^2-4)}+1

domain

3^{\frac{2}{x ^{2} - 4}} + 1

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) = \frac{1}{3} x^{2} + 6 x + 10

\frac{x ^{2} - 3 x + 2}{x ^{2} - 1}

θ

\frac{2 x - 2}{x ^{3} - 4 x ^{2} + 3 x}

(3, 5), (2, - 3)

What is the domain of 3^{2/(x^2-4)}+1 ?
The domain of 3^{2/(x^2-4)}+1 is x<-2\lor-2<x<2\lor x>2