SOLUTION: for the function f(x)=1/x+3x and g(x)=-1/x+6x-4 find f(x)+g(x)

Algebra ->  Rational-functions -> SOLUTION: for the function f(x)=1/x+3x and g(x)=-1/x+6x-4 find f(x)+g(x)      Log On


   



Question 1042083: for the function f(x)=1/x+3x and g(x)=-1/x+6x-4 find f(x)+g(x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

I'm assuming the two functions given to you are

f%28x%29+=+1%2Fx+%2B+3x

g%28x%29+=+-1%2Fx+%2B+6x-4


If that's the case, then...


f%28x%29+%2B+g%28x%29+=+%28f%28x%29%29+%2B+%28g%28x%29%29


f%28x%29+%2B+g%28x%29+=+%281%2Fx+%2B+3x%29+%2B+%28-1%2Fx+%2B+6x-4%29


f%28x%29+%2B+g%28x%29+=+1%2Fx+%2B+3x+%2B+-1%2Fx+%2B+6x-4


f%28x%29+%2B+g%28x%29+=+%281%2Fx-1%2Fx%29+%2B+%283x+%2B+6x%29-4


f%28x%29+%2B+g%28x%29+=+%281-1%29%2Fx+%2B+9x-4


f%28x%29+%2B+g%28x%29+=+0%2Fx+%2B+9x-4


f%28x%29+%2B+g%28x%29+=+0+%2B+9x-4


f%28x%29+%2B+g%28x%29+=+9x-4


where x%3C%3E0