college algebraI really need help!!
posted by Ladybug .
Find the domain of the composite function FOG
f(x)= 2/x3; g(x)= 7/x
please show work so I can undestand

(fog)(x) = f(g(x))
f(x) = 2/(x3), so
f(g) = 2/(g3), but
g(x) = 7/x, so
f(g(x)) = 2/(7/x  3) = 2x/(73x)
the domain is all reals except where the denominator is zero. so, all reals except x = 7/3
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