Thread: Functions / Composition

alright, the problem I need help on is showing that two functions are inverses of each other using composition.

f(x) = x + 3 / x - 2 and g(x) = 2x - 3 / x - 1

I've gotten to this point below and don't know where to go from there

f(g(x)) = (2x - 3 / x - 1) + 3 / (2x - 3 / x - 1) - 2

any help would be great, thanks

-Laconian

alright, the problem I need help on is showing that two functions are inverses of each other using composition.

f(x) = (x + 3)/(x - 2) and g(x) = (2x - 3)/(x - 1)

next time, use parentheses for clarity

re-check f(x) and g(x) ... they are not inverses.



but

Well the entire question is "Use composition to show that f(x) and g(x) are inverse of each other. What I showed before is correct.

Is the question also asking to show that they are not inverses if their not.

-Laconian