Question

For which rational expression is -5 an excluded value of x?

Answer 1

Ration expressions cause excluded values wherever the denominator equals zero.

So, for any expression like

`h(x)=(f(x))/(g(x))`

-5 is an excluded value if
`g(-5)=0`

For example, the simplest one would be

`h(x) = (1)/(x+5)`

In fact, if you try to evaluate this function at -5, you'd have

`h(-5)=(1)/(5+5)=(1)/(0)`

which is undefined, and thus you can't evaluate the function, and thus -5 is an excluded value.

Answer 2

6/x+5

Explanation: