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

$h(x)=\dfrac{f(x)}{g(x)}$

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

For example, the simplest one would be

$h(x) = \dfrac{1}{x+5}$

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

$h(-5)=\dfrac{1}{5+5}=\dfrac{1}{0}$

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

Answer 2

Answer:

6/x+5

Step-by-step explanation: