Question

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

Answer 1

x = - 5, x = - 11

Explanation:

Given

y =
`(x+4)/((x+5)(x+11))`

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.