Posted by **anonymous** on Tuesday, January 8, 2013 at 12:24am.

find the domain of composite function fog

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

please show work

- math -
**Steve**, Tuesday, January 8, 2013 at 5:11am
f(g) = g/(g-4)

= (-1/x) / (-1/x - 4)

= (-1)/(-1-4x)

= 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

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