Respuesta :

Answer:

You multiply 5 by 1/5 to get 1. So with 2x, you multiply by 1/(2x) to get 1. That's about all you know, since we only know that x is positive.

Step-by-step explanation:

Hope it helps

Answer:

[tex]\frac{25}{10x-1}[/tex]

Step-by-step explanation:

The multiplicative inverse of "a" is " [tex]\frac{1}{a}[/tex] "

a × [tex]\frac{1}{a}[/tex] = 1

~~~~~~~~~~~

[tex]\frac{1}{5}[/tex] ( 2x - [tex]\frac{1}{5}[/tex] ) = [tex]\frac{2}{5}[/tex] x - [tex]\frac{1}{25}[/tex]

1 ÷ ( [tex]\frac{2}{5}[/tex] x - [tex]\frac{1}{25}[/tex] ) = 1 ÷ ( [tex]\frac{10x}{25}[/tex] - [tex]\frac{1}{25}[/tex] ) = 1 ÷ ( [tex]\frac{10x - 1}{25}[/tex] ) = [tex]\frac{25}{10x-1}[/tex]

The multiplicative inverse of the product is  [tex]\frac{25}{10x-1}[/tex]

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