Homework Help: Math problem still stuck

Posted by Shawn on Sunday, October 12, 2008 at 4:02pm.

Let f(x) = 1/(x+7)+15/(x-8). Find all a for which f(a)=f(a+15).

I understand this so far
f(a)=f(a+15)
1/(7+a) + 15/(a-8) = 1/(a+22) + 15/(a+7)

I have multiplied the LCD of (a-8)(a+7)(a+22)by both sides with no luck.

This is a multiple choice question
a.) -161/8
b.) 120/7
c.) 161/7
d.) -17
I have the answer as

Math problem still stuck - Ryan, Sunday, October 12, 2008 at 4:05pm
Just plug in the values since it's multiple choice.
Math problem still stuck - Shawn, Sunday, October 12, 2008 at 4:12pm
When I plug in the values what am I looking to find?
Math problem still stuck - bobpursley, Sunday, October 12, 2008 at 4:20pm
If you want to plug in, plug in the answer for a to see if both sides are equal.
Math problem still stuck - Ryan, Sunday, October 12, 2008 at 4:21pm
you want 1/(7+a) + 15/(a-8) = 1/(a+22) + 15/(a+7), your second equation, to be true, so you true the four values of a given in the equation and if both sides are equal, you've found it.
- Math problem still stuck - Ryan, Sunday, October 12, 2008 at 4:22pm
  *try not true
Math problem still stuck - Shawn, Sunday, October 12, 2008 at 4:32pm
So you are saying that it is none of the multiple choice answers of -161/8
120/7 161/7 or -17
?

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