find (gof) (x) and (fog) (3)?

0 ⤊

f(x)= 1 over x-2
g(x)= 4 over x

2007-08-04 15:24:41 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

f(x)= 1 / (x-2)
g(x)= 4 / x

gof(x) = 4 / 1/(3-2) = 4/1/1 = 4
fog(x) = 1/ (4/3 -2) = 1/(-2/3) = -3/2

2007-08-04 15:31:02 · answer #1 · answered by Steve A 7 · 0⤊ 0⤋

gof(x)=4(x-2)

fog (3)= -3/2

2007-08-04 15:37:26 · answer #2 · answered by Anonymous · 0⤊ 0⤋

g(f)= 4/(1/(x-2))
multiply by reciprocal gives 4(x-2)=4x-8

f(g(3))=1/((4/x)-2)
substitute 3 for x, gives 1/(4/3)-2)
1/(-2/3) = -3/2

2007-08-04 16:13:58 · answer #3 · answered by james w 5 · 0⤊ 0⤋

(gof)(x)=g(f(x))=g(1/(x-2))=4(x-2)
(fog)(3)=f(g(3))=f(4/3)=-3/2

2007-08-04 15:31:47 · answer #4 · answered by Anonymous · 0⤊ 0⤋