anonymous
  • anonymous
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = (x-8)/(x+7) g(x) = (-7x-8)/(x-1) I'm running out of time. I'd appreciate if someone could just help me with this.
Mathematics
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anonymous
  • anonymous
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = (x-8)/(x+7) g(x) = (-7x-8)/(x-1) I'm running out of time. I'd appreciate if someone could just help me with this.
Mathematics
jamiebookeater
  • jamiebookeater
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Astrophysics
  • Astrophysics
|dw:1435727045875:dw| we're replacing every x in f(x) with g(x) function which gives us f(g(x)) and for g(f(x)) you would replace every x in g(x) with f(x) function, now you can simplify the problem.
anonymous
  • anonymous
@Astrophysics Yea, I can typically get that far, I only have trouble with what comes after that lol. It always gets really messy when I try to attack it, and I always end up getting it wrong somehow.... :(
anonymous
  • anonymous
so, I start off like this? ((-7x-8)/(x-1)-8) -7x-8-8x+8 -15x

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anonymous
  • anonymous
then........ ((-7x-8)/(x-1)+7) -7x-8 + 7x-7 -15 -15x/15=x=f(g(x)) I'm assuming it's like this, right? I had an experience where someone over-complicated it all, but I feel like I'm doing it right....
anonymous
  • anonymous
Yea, nevermind, I got it!
Astrophysics
  • Astrophysics
Sorry I was helping someone else, and that's awesome, you tried it and it worked out for you :)

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