Posted by **Ladybug** on Sunday, November 25, 2012 at 9:44am.

Find the domain of the composite function FOG

f(x)= 2/x-3; g(x)= 7/x

please show work so I can undestand

- college algebra--I really need help!! -
**Steve**, Sunday, November 25, 2012 at 2:22pm
(fog)(x) = f(g(x))

f(x) = 2/(x-3), so

f(g) = 2/(g-3), but

g(x) = 7/x, so

f(g(x)) = 2/(7/x - 3) = 2x/(7-3x)

the domain is all reals except where the denominator is zero. so, all reals except x = 7/3

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