SOLUTION: m(x)=6x-9 and k(x)=2-3x/6x Find and simplify: (m-k)(x) I think it starts off this way: (m-k)(x)=m(x)-k(x) = (6x-9)-(2-3x)/(6x) This is as far as I can get...can someon

Algebra ->  Rational-functions -> SOLUTION: m(x)=6x-9 and k(x)=2-3x/6x Find and simplify: (m-k)(x) I think it starts off this way: (m-k)(x)=m(x)-k(x) = (6x-9)-(2-3x)/(6x) This is as far as I can get...can someon      Log On


   

Question 372754: m(x)=6x-9 and k(x)=2-3x/6x
Find and simplify: (m-k)(x)
I think it starts off this way:
(m-k)(x)=m(x)-k(x)
= (6x-9)-(2-3x)/(6x)
This is as far as I can get...can someone please walk me thru this step by step? I posted this earlier but I set the equation up incorrectly. Thank you.
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Just like with fractions you need a common denominator.
In this case, %286x%29
m%28x%29=%286x-9%29%28%286x%29%2F%286x%29%29=%286x%286x-9%29%29%2F%286x%29
So then
m%28x%29-k%28x%29=%286x%286x-9%29%29%2F%286x%29-%282-3x%29%2F%286x%29
m%28x%29-k%28x%29=%286x%286x-9%29-%282-3x%29%29%2F%286x%29
m%28x%29-k%28x%29=%2836x%5E2-54x-2%2B3x%29%2F%286x%29
highlight%28m%28x%29-k%28x%29=%2836x%5E2-51x-2%29%2F%286x%29%29

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

So far, perfect.



The common denominator is , so:







And that is all there is.

John

My calculator said it, I believe it, that settles it
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