Trulyblessed5576 Trulyblessed5576
  • 14-01-2020
  • Mathematics
contestada

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

Respuesta :

joaobezerra joaobezerra
  • 15-01-2020

Answer:

The factorized expression is

[tex]1 + x[/tex]

Step-by-step explanation:

The first step to solve this problem is knowing that:

[tex](f(x))^{-1} = \frac{1}{f(x)}[/tex]

So

[tex](xe^{-x})^{-1} + e^{x}[/tex]

[tex]\frac{1}{xe^{-x}} + e^{x}[/tex]

[tex]xe^{-x}(\frac{1}{xe^{-x}} + e^{x})[/tex]

[tex]1 + x[/tex]

The factorized expression is

[tex]1 + x[/tex]

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