Question

Perform the indicated operation. State the domain restrictions

Answer 1

c

Explanation:

Answer 2

Explanation:

Domain has all values of x ( think X marks the spot on your domain) so the restrictions come in those cases from the fact that a fraction can NOT have the denominator 0 because dividing by 0 is not allowed.

5.

here x+1
`\\eq` 0 and x+3
`\\eq` 0 so the domain restrictions are x
`\\eq` -1 and x
`\\eq` -3

to solve you need to factor x^2 -6x-27

you can do it by using

x^2 - Sx +P = 0 where S= root 1 +root 2 and P = root 1*root2

so in our case Sum has to be 6 and Product -27, what 2 numbers add to 6 and their product is -27? ....-3 and 9; S= -3+9 = 6 and P= -3*9 = -27

it will factor in (x-root 1) (x-root 2)

x^2 -6x-27 = (x+3)(x-9)

`((x+3)(x-9))/(x+1) * (x+1)/(x+3) =\\`

simplify x+1 and x+3

x-9