What is the domain of f(x)= 5/(1-e^{1-x^2)} ?

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

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domain of f(x)= 5/(1-e^{1-x^2)}

domain

f (x) = \frac{5}{1 - e ^{1 - x^{2}}}

x < - 1 or - 1 < x < 1 or x > 1

Interval Notation

(- \infty, - 1) \cup (- 1, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = - 1

The function domain

x < - 1 or - 1 < x < 1 or x > 1

f (x) = - \frac{3}{x - 3}

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

f (x) = x (x^{2} + 1)

f (x) = \frac{e ^{x}}{1 + e ^{x}}

\frac{1}{1 + e ^{x}}

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