SOLUTION: Please help with this problem: Find f(g(x)) and g(f(x)). Then, determine whether f and g are inverses of each other. f(x)=6/x, x≠0 g(x)=-(6/x), x≠0 Thank you!

Algebra ->  Inverses -> SOLUTION: Please help with this problem: Find f(g(x)) and g(f(x)). Then, determine whether f and g are inverses of each other. f(x)=6/x, x≠0 g(x)=-(6/x), x≠0 Thank you!       Log On


   

Question 808296: Please help with this problem: Find f(g(x)) and g(f(x)). Then, determine whether f and g are inverses of each other.
f(x)=6/x, x≠0
g(x)=-(6/x), x≠0
Thank you!



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=6/x
g(x) = -6/x
f(g(x)) = 6/(-6/x) = -x
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g(f(x)) = -6/(6/x) = -x
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y = 6/x
Swap x & y
x = 6/y
Solve for y
y = 6/x is the inverse. Not negative.