What is the domain of f(x)=e^{1-4x^{-3}} ?

The domain of f(x)=e^{1-4x^{-3}} is x 0

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domain of f(x)=e^{1-4x^{-3}}

domain

f (x) = e^{1 - 4 x^{- 3}}

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

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

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

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

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

{sin (x) : - 4 π < x < 0, 2 x : x \geq 0}

What is the domain of f(x)=e^{1-4x^{-3}} ?
The domain of f(x)=e^{1-4x^{-3}} is x<0\lor x>0