Question

What is the excluded value of the rational expression(pic about to be uploaded)?

–3
–2
0
2

Answer 1

so the domain for x is {–3, –2, 0, 2,}?

Answer 2

Excluded values are found at x values for which the function cannot be evaluated. In this case the problem would be attempted division by 0, which isn't allowed.
Division by 0 would occur at 4x - 8 = 0, or x = 2, so x = 2 must be excluded from the domain of the function.

Answer 3

idk

Answer 4

\[\frac{2x+6}{4x-8}=\frac{2(x+3)}{4(x-2)}=\frac{x+3}{2(x-2)}\]

Answer 5

when x=-3 f(x) =0
when x=-2 f(x)=-1/8
when x=0 f(x)=-3/4
when x=2 f(x) is not defined

Answer 6

the average of these numbers is simply \[\frac {0+-1/8+-3/4+?}{4}=-7/32\]

Answer 7

@Blacksteel do i have this right? should the undefined point be included in the (number of values) denominator ?

Answer 8

What exactly are you trying to do? Its not relevant to the problem at hand, but if you do want to solve for the average value you wouldn't include the undefined point, since as an undefined point it is excluded from the domain of the function.

Answer 9

ok then
\[\frac {0+-1/8+-3/4}{3}=-7/24\]