SOLUTION: Please help! I have to find the following: f+g f-g fg f/g f(x)= 6-1/x g(x)= 1/x Please help! Are they asking me to solve for "x"? I would be grateful if someone co

Algebra ->  Functions -> SOLUTION: Please help! I have to find the following: f+g f-g fg f/g f(x)= 6-1/x g(x)= 1/x Please help! Are they asking me to solve for "x"? I would be grateful if someone co      Log On


   

Question 394311: Please help! I have to find the following:
f+g
f-g
fg
f/g
f(x)= 6-1/x
g(x)= 1/x
Please help! Are they asking me to solve for "x"? I would be grateful if someone could show me the steps to this! thx!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
f%28x%29=+6-1%2Fx
g%28x%29=+1%2Fx
find:
1.
f%2Bg+=+6-1%2Fx+%2B+1%2Fx
f%2Bg+=+6-cross%281%2Fx%29+%2B+cross%281%2Fx%29

f%2Bg+=+6

2.
f-g+=+6-1%2Fx+-+1%2Fx

f-g+=+6+-2%2Fx+

3.
fg+=+%28%286-1%2Fx%29%281%2Fx%29%29

fg+=+%28%286x-1%29%2Fx%29%281%2Fx%29%29

fg+=+%286x-1%29%2Fx%5E2%29

4.
f%2Fg+=+%28%286-1%2Fx%29%2F%281%2Fx%29%29

f%2Fg+=+%28%286x-1%29%2Fx%29%2F%281%2Fx%29%29

f%2Fg+=+%28x%286x-1%29%2Fx%29

f%2Fg+=+%28cross%28x%29%286x-1%29%2Fcross%28x%29%29

f%2Fg+=+6x-1