rfranklin40567 rfranklin40567
  • 08-05-2020
  • Mathematics
contestada

How can you analyze the numerator and/or the denominator in a rational expression to locate the x-intercepts?

Respuesta :

jajumonac jajumonac
  • 14-05-2020

Answer:

[tex]x=0[/tex] for [tex]f(x)=\frac{P(x)}{Q(x)}[/tex], with [tex]Q(x) \neq 0[/tex].

Step-by-step explanation:

To obtain x-intercepts, we need to give certain value, specifically [tex]x=0[/tex].

However, in case of a rational function, we must make sure that [tex]x=0[/tex] doesn't makes the denominator null, beacuse in that case the function is undefined.

Therefore, for x-intercepts we must say

[tex]x=0[/tex] for [tex]f(x)=\frac{P(x)}{Q(x)}[/tex], with [tex]Q(x) \neq 0[/tex].

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