ok..here is the question..
function of f and g are defined as f : x ---> 2 + 3x
and g : x ---> 2 / x - 5 . Find the composite function of fg and gf .... help meee!!!
2007-02-03 21:38:37 · 3 answers · asked by kluivert(17) 4 in Science & Mathematics ➔ Mathematics
Composite functions mean to take the second one listed and put it in place of the variables in the first.
f(g) = 2 + 3[2/(x-5)]
= 2 + 6/(x+5)
g(f) = 2/[(2+3x) - 5]
= 2/(3x - 3)
2007-02-03 21:50:56 · answer #1 · answered by Mathematica 7 · 1⤊ 0⤋
Composite function f(g(x)) :-
f (g(x) ) = f(2/x - 5) = 3(2/x - 5) + 2
= 6/x - 15 + 2 = 6/x - 13
Composite function g(f(x)):-
g (f(x)) = g(2 + 3x) = 2/(2 + 3x) - 5
= (2 - 5(2 + 3x)) / (2 + 3x )
= (2 - 10 - 15x)/(2 + 3x)
= - (15x + 8) / (3x + 2)
2007-02-03 22:01:14 · answer #2 · answered by Como 7 · 0⤊ 0⤋
NO!!! I don't like doing math because it sucks. I already graduated and never have to do math again so HAHAHAHAHA! Jealous?. But hopefully somebody else can help u. Good luck!
2007-02-03 21:41:25 · answer #3 · answered by Soundguy 2 · 0⤊ 1⤋