SOLUTION: Find the domain of each of the rational expressions. (Identify which values of x will make the denominator zero and thus are not allowed in the domain.) 7-3b/b^2-12+20 and 3b-7/

Algebra ->  Functions -> SOLUTION: Find the domain of each of the rational expressions. (Identify which values of x will make the denominator zero and thus are not allowed in the domain.) 7-3b/b^2-12+20 and 3b-7/      Log On


   



Question 754508: Find the domain of each of the rational expressions. (Identify which values of x will make the denominator zero and thus are not allowed in the domain.)
7-3b/b^2-12+20 and 3b-7/b^2-20+100
Divide your first rational expression by the second one. Write the answer in lowest terms.
Find and state the common denominator between the two expressions. Build up each expression so that it has the common denominator. (Remember not to do any canceling at this point since you need those extra factors for the common denominator.)
Add the two rational expressions together. Factor again if possible, and present the answer in lowest terms.
Please Help! I have tried to figure this out and it is driving me crazy. I'm so confused. If you could please explain what it is you are doing to get your answers so that way I could better understand the process. Thanks!!

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain of each of the rational expressions. (Identify which values of x will make the denominator zero and thus are not allowed in the domain.)
7-3b/b^2-12+20 and 3b-7/b^2-20+100
Divide your first rational expression by the second one. Write the answer in lowest terms.
Find and state the common denominator between the two expressions. Build up each expression so that it has the common denominator. (Remember not to do any canceling at this point since you need those extra factors for the common denominator.)
Add the two rational expressions together. Factor again if possible, and present the answer in lowest terms.
Please Help! I have tried to figure this out and it is driving me crazy. I'm so confused. If you could please explain what it is you are doing to get your answers so that way I could better understand the process. Thanks!!

Where are the Bs?

%287+-+3b%29%2F%28b%5E2+-+12+%2B+20%29 and %283b+-+7%29%2F%28b%5E2+-+20+%2B+100%29

%287+-+3b%29%2F%28%28b+-+2%29%28b+-+10%29%29 ----- Factoring denominator
The domain (x) of this expression are ALL REALS EXCEPT 2 or 10, as these values create a 0 (zero) in the denominator thereby rendering the rational expression, UNDEFINED

%283b+-+7%29%2F%28%28b+-+10%29%28b+-+10%29%29%29 ----- Factoring denominator
The domain (x) of this expression are ALL REALS EXCEPT 10, as this value creates a 0 (zero) in the denominator thereby rendering the rational expression, UNDEFINED

----- Adding expressions

------- Multiplying by LCD, %28b+-+2%29%28b+-+10%29%28b+-+10%29





highlight_green%28%2824b+-+56%29%2F%28%28b+-+2%29%28b+-+10%29%5E2%29%29%29