Given the function f(x) and f(g), the composite result function f(g(x)) is 3x - 16.
Given the functions in the question;
To determine f(g(x)), we set up the result of the function.
f(g(x)) = f( x - 7 )
f(x) = 3x + 5
We replace all occurrence of x with x-7 and simplify
f( x - 7 ) = 3( x - 7 ) + 5
f( x - 7 ) = 3x - 21 + 5
f( x - 7 ) = 3x - 16
Given the function f(x) and f(g), the composite result function f(g(x)) is 3x - 16.
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