Question

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

Answer 1

option C and F

Explanation:

Given excluded value is x=-5

Excluded value are the values that makes the denominator 0

Now we check out each option and see , in which option the denominator becomes 0 when x=-5

When denominator has (x+5) then when we plug in x=-5

(x+5) becomes (-5+5) =0

So we look at the options that has factor (x+5) in the denominator

In option C we have x^2 -25

When we plug in -5 for x then it becomes (-5)^2 - 25 =0

So x=-5 makes the denominator 0

-5 is an excluded value for option C

Last option f has x+5 in the denominator

x=-5 make the denominator 0

so , -5 is an excluded value for option F