What is the domain of f(x)=(4-e^{x^2})/(1-e^{4-x^2)} ?

The domain of f(x)=(4-e^{x^2})/(1-e^{4-x^2)} is x 2

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domain of f(x)=(4-e^{x^2})/(1-e^{4-x^2)}

domain

f (x) = \frac{4 - e ^{x^{2}}}{1 - e ^{4 - 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

ln (x^{2} - 6 x + 8)

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

f (x) = 5 x - 2 y = 4

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

y = 5 (2^{x})

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