Tukidoor Tukidoor

08-06-2018
Mathematics

contestada

if f(x)=x+7 and g(x)=
[tex] \frac{1}{x - 13} [/tex]
, what is the domain of (fog)(x)?

Respuesta :

08-06-2018

Hi,

[tex]f(x)=x+7\\ g(x)= \dfrac{1}{x-13} \\ (fog)(x)=f(g(x))=f(\dfrac{1}{x-13})=\dfrac{1}{x-13}+7\\ [/tex]
Domain of (fog)(x) is R \ {13} =(-oo 13[ U ]13 +oo)

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