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

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

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

domain

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

- 1 \leq x < 0 or x \geq 1

Interval Notation

[- 1, 0) \cup [1, \infty)

Solution steps

Find non-negative values for radicals:

- 1 \leq x < 0 or x \geq 1

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 1 \leq x < 0 or x \geq 1

\frac{x + 1}{8 x - 9}

\frac{1}{3} (x - 4)^{2} + 2

U (x) = 12 x - 2148

- x^{4} + x^{2}

\frac{ln ( x )}{x - 3}

What is the domain of f(x)=2e^{sqrt((x^2-1)/(4x))} ?
The domain of f(x)=2e^{sqrt((x^2-1)/(4x))} is -1<= x<0\lor x>= 1