What is the domain of f(x)=sqrt(3-e^{2x)} ?

The domain of f(x)=sqrt(3-e^{2x)} is x<= (ln(3))/2

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domain of f(x)=sqrt(3-e^{2x)}

domain

f (x) = 3 - e^{2 x}

x \leq \frac{ln ( 3 )}{2}

Interval Notation

(- \infty, \frac{ln ( 3 )}{2}]

Solution steps

Find non-negative values for radicals:

x \leq \frac{ln ( 3 )}{2}

The function domain

x \leq \frac{ln ( 3 )}{2}

What is the domain of f(x)=sqrt(3-e^{2x)} ?
The domain of f(x)=sqrt(3-e^{2x)} is x<= (ln(3))/2