What are the values of x for which the denominator is equal to zero for y=(x+3)/(x^2+4x)

Question

asked Oct 27, 2022 88.1k views

1 Answer

Vishal Biradar · Answer 1 · 2022-10-31T06:02:26+0000

9514 1404 393

Answer:

-4, 0

Explanation:

The denominator is x^2+4x. This is zero when ...

x^2 +4x = 0

x(x +4) = 0

The zero product rule tells you the product is zero when the factors are zero.

x = 0

x +4 = 0 ⇒ x = -4

The denominator is zero for x=0 and x=-4.