SOLUTION: 18. What is the reciprocal of 2/x + 7/x+1.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 18. What is the reciprocal of 2/x + 7/x+1.       Log On


   

Question 206103: 18. What is the reciprocal of 2/x + 7/x+1.
Answer by Marth(57) About Me  (Show Source):
You can put this solution on YOUR website!
The reciprocal of 2%2F%28%28x%2B7%29%2F%28x%2B1%29%29
Start by simplifying it.
2%2F%28x%2B7%29%2F%28x%2B1%29 = 2%2A%28%28x%2B1%29%2F%28x%2B7%29%29
= 2%28x%2B1%29%2F%28x%2B7%29
Now taking the reciprocal is easier.
The reciprocal is 1%2F%282%28x%2B1%29%2F%28x%2B7%29%29
= 1%2A%28x%2B7%29%2F%282%28x%2B1%29%29 = %28x%2B7%29%2F%282%28x%2B1%29%29