bsantamaria2004
bsantamaria2004 bsantamaria2004
  • 03-06-2020
  • Mathematics
contestada

For which values of x is the function
Y=x+4/(x+5)(x+11)
not defined? Select all that apply.

-4
5
-5
11

Respuesta :

jimrgrant1 jimrgrant1
  • 03-06-2020

Answer:

x = - 5, x = - 11

Step-by-step explanation:

Given

y = [tex]\frac{x+4}{(x+5)(x+11)}[/tex]

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

Equating the denominator to zero and solving gives the values that x cannot be, that is

(x + 5)(x + 11) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x + 11 = 0 ⇒ x = - 11

Thus

x = - 11 and x = - 5 are excluded values.

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