A correlation between the domain of two functions.

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I was solving a problem where the domain of a function f(x) and a function g(x) = |3x+4| was given. Can i get any help to find the domain of fog(x).

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while calculating f$\circ$g$(x)$, $g(x)$ acts as input to $f(x)$. Hence $g(x)$ must lie within the domain of $f(x)$ $$-3 <= g(x) <= 5$$ which gives $$-3 <= x <= 1/3$$ as domain for f$\circ$g$(x)$