What is the domain of f(x)=arctan(e^x) ?

The domain of f(x)=arctan(e^x) is -infinity <x<infinity

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domain of f(x)=arctan(e^x)

domain

f (x) = arctan (e^{x})

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

f (x) = - x^{2} + 5 x - 4

f (x) = \frac{2 x}{3 x ^{2} - 13 x - 10}

\frac{x}{x ^{2} - 5 x + 4}

f (x) = \frac{5 x}{100 - x}

2^{s i n (x)}

What is the domain of f(x)=arctan(e^x) ?
The domain of f(x)=arctan(e^x) is -infinity <x<infinity