blackmonsoon
blackmonsoon blackmonsoon
  • 01-11-2020
  • Mathematics
contestada

2x - 5/4x^2- 10x

Simplify the rational expression and find the non-permissible values

Respuesta :

jimrgrant1 jimrgrant1
  • 01-11-2020

Answer:

[tex]\frac{1}{2x}[/tex] , x ≠ 0

Step-by-step explanation:

Given

[tex]\frac{2x-5}{4x^2-10x}[/tex] ← factor the denominator by factoring out 2x from each term

= [tex]\frac{2x-5}{2x(2x-5)}[/tex] ← cancel the factor (2x - 5) on numerator/ denominator

= [tex]\frac{1}{2x}[/tex]

The denominator cannot be zero as this would make it undefined.

Thus x = 0 is the non- permissible value

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