The domain of the function f(x) = frac{1}{1 + | vedclass

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Question

(A) The domain of a function $f(x)$ is the set of all possible input values $(x)$ for which the function is defined.
For the function $f(x) = \frac{1

Vedclass · Accepted Answer

$(-\infty, \infty)$

Vedclass · Answer

(A) The domain of a function $f(x)$ is the set of all possible input values $(x)$ for which the function is defined.
For the function $f(x) = \frac{1}{1 + e^x}$,the denominator must not be zero.
Since $e^x > 0$ for all real values of $x$,it follows that $1 + e^x > 1$.
Therefore,$1 + e^x$ is never zero for any real number $x$.
Thus,the function is defined for all real numbers.
The domain is $(-\infty, \infty)$.

The domain of the function $f(x) = \frac{1}{1 + e^x}$ is

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