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boyakko [2]
4 years ago
11

In Exercise,factor the expression. (xe - x)-1 + ex

Mathematics
1 answer:
BlackZzzverrR [31]4 years ago
8 0

Answer:

The factorized expression is

1 + x

Step-by-step explanation:

The first step to solve this problem is knowing that:

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

So

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

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

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

1 + x

The factorized expression is

1 + x

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