Question

For which rational expressions is -5 an excluded value? Check all that apply.

Answer 1

Third option and sixth option

Explanation:

It is important to remember that, by definition, "Excluded values" are all those values that make the denominator equal to 0.

You need to substitute -5 into each rational expression:

`(x+5)/(x-5)=(x+5)/((-5)-5)=(x+5)/(-10)`

`(x^2-5)/(x^2+5)=(x^2-5)/((-5)^2+5)=(x^2-5)/(30)`

`(x-3)/(x^2-25)=(x-3)/((-5)^2-25)=(x-3)/(0)`

`(x^2-25)/(2x^2+5)=(x^2-25)/(2(-5)^2+5)=(x^2-25)/(55)`

`(2x+1)/(x^2+25)=(2x+1)/((-5)^2+25)=(2x+1)/(50)`

`((x-2)(x-5))/((x+3)(x+5))=((x-2)(x-5))/((x+3)((-5)+5))=((x-2)(x-5))/(0)`