Posted by anonymous on Tuesday, January 8, 2013 at 12:24am.
find the domain of composite function fog
f(x)=x/x4; g(x)= 1/x
please show work

math  Steve, Tuesday, January 8, 2013 at 5:11am
f(g) = g/(g4)
= (1/x) / (1/x  4)
= (1)/(14x)
= 1/(4x+1)
domain is all reals except x = 1/4, 0
f(4) is not defined, but g(x) = 4 when x = 1/4.
unfortunately, g(0) is not defined, so f(g(0)) is also not defined