Question

What is the restriction on the product of x^2+3x+ 2 over x^2-2x-3 multiplied by x^2+4x+3 over x+2

Answer 1

\[\frac{ x^2 + 3x +2 }{ x^2-2x-3} * \frac{ x^2+4x+3 }{ x+2 }\]
like this?

Answer 2

yes

Answer 3

\[\frac{ (x+2)(x+1) }{ x-3)(x+1)} * \frac{ (x+3)(x+1) }{ x+2 }\]
after factoring, cross out like terms, reduce /simplify.

Answer 4

so x+1?

Answer 5

you can't cross out x+3 and x-3

Answer 6

oh true so (x+1)(x+3)/x-3?

Answer 7

Yes, now restrictions:
\[x \neq 3\]
because it will be undefined at x=3
anything divide by 0 DNE

Answer 8

Domain = ARN but x is not equal to 3

Answer 9

thank you so much!