What is the domain of f(x)=(9-e^{x^2})/(1-e^{9-x^2)} ?

The domain of f(x)=(9-e^{x^2})/(1-e^{9-x^2)} is x 3

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domain of f(x)=(9-e^{x^2})/(1-e^{9-x^2)}

domain

f (x) = \frac{9 - e ^{x^{2}}}{1 - e ^{9 - x^{2}}}

x < - 3 or - 3 < x < 3 or x > 3

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 3, x = - 3

The function domain

x < - 3 or - 3 < x < 3 or x > 3

What is the domain of f(x)=(9-e^{x^2})/(1-e^{9-x^2)} ?
The domain of f(x)=(9-e^{x^2})/(1-e^{9-x^2)} is x<-3\lor-3<x<3\lor x>3