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Functions question? easy points?
So here's the question:
f(x)=3x-4 / 3x+3 and g(x)- x+1 / x- 1
and i have to compute (F*G)(x) or f of g of x.
i got so far as to plug in g(x) in the f function, and converted them to common denominators but for some reason i'm having a brain fart and forgot how to simplify from there. help please??
3 Answers
- hayharbrLv 71 decade agoFavorite Answer
f○g(x) = [3((x + 1)/(x - 1)) - 4 / 3((x + 1)/(x - 1)) + 3]
= (3x + 3) /(x - 1) - 4 over (3x + 3)/(x - 1) + 3
the 4 becomes 4(x - 1)/(x - 1) = 4x - 4 over x - 1 so that part when combined is (-1x + 7) / (x - 1)
the 3 becomes 3(x - 1)/(x - 1) = (3x - 3)/(x - 1) so that becomes
6x / (x - 1)
flip and multiply
(-1x + 7) (x - 1)
----------- • -------
(x - 1) 6x
which cancels to be (-1x + 7) over 6x
look that over and see if it makes sense and if I made arithmetic errors (which unfortunately happens sometimes when trying to do math on a keyboard)
edited
- Anonymous1 decade ago
Fvck if I know.
