SOLUTION: Find f + g, f − g, f · g, and f/g for each function. f(x)= 6/x ; g(x)= x/x-8

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Find f + g, f − g, f · g, and f/g for each function. f(x)= 6/x ; g(x)= x/x-8      Log On


   

Question 844154: Find
f + g, f − g, f · g, and f/g for each function.
f(x)= 6/x ; g(x)= x/x-8
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=6%2Fx
g%28x%29=x%2F%28x-8%29
.
.
f%2Bg=6%2Fx%2Bx%2F%28x-8%29
f%2Bg=%286%28x-8%29%29%2F%28x%28x-8%29%29%2Bx%5E2%2F%28x%28x-8%29%29
f%2Bg=%286x-48%2Bx%5E2%29%2F%28x%28x-8%29%29
f%2Bg=%28x%5E2%2B6x-48%29%2F%28x%28x-8%29%29
Similarly,
f-g=%286x-48-x%5E2%29%2F%28x%28x-8%29%29
f-g=%28-x%5E2%2B6x-48%29%2F%28x%28x-8%29%29
.
.
f%2Ag=%286%2Fx%29%28x%2F%28x-8%29%29=6%2F%28x-8%29
.
.
f%2Fg=%286%2Fx%29%2A%28%28x-8%29%2Fx%29=%286%28x-8%29%29%2Fx%5E2