Question

(20 points)

Hey there, my teacher didn't explain how to find the "Excluded Values," and I don't know what they are. Please help me out with these problems and show me how it works.
Thank you :)

Answer 1

The excluded values are the values that the variable cannot take on because it makes the overall expression undefined.

For example, we can't have
`x=0` in the expression
`\frac1x` because
`\frac10` is undefined.

For both of these problems you do the same sort of thing, with some factorization along the way:

`(9p^2)/(4p^2-12p)=(9p^2)/(4p(p-3))`

If
`p=0` or
`p=3`, the denominator is 0 and we have an undefined expression, so these are the excluded values.

`\frac6{m^2+m-42}=\frac6{(m+7)(m-6)}`

If
`m=-7` or
`m=6`, we get an undefined expression.