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Popular >

simplify (1+e^{-x})^{-1}

Solution

simplify

(1 + e^{- x})^{- 1}

Solution

\frac{1}{e ^{- x} + 1}

Solution steps

(1 + e^{- x})^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{( 1 + e ^{- x} )}

Remove parentheses:

(a) = a

= \frac{1}{1 + e ^{- x}}

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Frequently Asked Questions (FAQ)

What is (1+e^{-x})^{-1} ?
The solution to (1+e^{-x})^{-1} is 1/(e^{-x)+1}