Question

Perform the indicated operation. State the domain restrictions

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

Answer:

Step-by-step 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 $\neq$ 0 and x+3 $\neq$ 0 so the domain restrictions are x $\neq$ -1 and x$\neq$ -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)

$\frac{(x+3)(x-9)}{x+1} * \frac{x+1}{x+3} =$

simplify x+1 and x+3

x-9