f(x)= 3x+7
g(x)=?
h(x)=3x+7/3x+9
(gof)(x)=3x+7/3x+9
(goh)(x)=...?
(i think g(x) = x/x+2....)
pls help me.. thank you
+129933 You are correct, g(x) = x / [ x + 2]
So
(g ° h) x = g ( h(x)) =
[ (3x + 7) / (3x + 9) ] / [ (3x + 7) / (3x + 9) + 2 ] =
[ (3x + 7)/ (3x+9) ] / [ ( 2 (3x + 9) + (3x + 7) ) / (3x + 9) ] =
[ (3x + 7)/ (3x + 9) ] / [ (9x + 25) / (3x + 9) ] =
3x + 7 3x + 9
_______ * _______
3x + 9 9x + 25
3x + 7
_______
9x + 25
