What is the domain of (25-e^{x^2})/(1-e^{25-x^2)} ?

The domain of (25-e^{x^2})/(1-e^{25-x^2)} is x 5

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domain of (25-e^{x^2})/(1-e^{25-x^2)}

domain

x < - 5 or - 5 < x < 5 or x > 5

Interval Notation

(- \infty, - 5) \cup (- 5, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 5

The function domain

x < - 5 or - 5 < x < 5 or x > 5

What is the domain of (25-e^{x^2})/(1-e^{25-x^2)} ?
The domain of (25-e^{x^2})/(1-e^{25-x^2)} is x<-5\lor-5<x<5\lor x>5