Question

For what value of x is (2x^2+8x)/(x+4)(x^2-9) undefined?

Answer 1

The value at x =3 is undefined for the given expression

Explanation:

Given expression is
`(2x^2+8x)/((x+4)(x^2-9))`

To find for what value of x is undefined in the given expression :

`(2x^2+8x)/((x+4)(x^2-9))=(2x(x+4))/((x+4)(x^2-9))`

`=(2x)/(x^2-9)`

`(2x^2+8x)/((x+4)(x^2-9))=(2x)/(x^2-9)`

If we put x=3 in the above expression we get

`(2x)/(x^2-9))=(2(3))/(3^2-9)`

`=(6)/(9-9)`

`=(6)/(0)`

Therefore
`(2x^2+8x)/((x+4)(x^2-9))=(6)/(0)`

The value at x =3 is undefined for the given expression