Answer :

Given the function f(x) and f(g), the composite result function f(g(x)) is 3x - 16.

What is the composite result function f(g(x))?

Given the functions in the question;

  • f(x) = 3x + 5
  • g(x) = x - 7
  • f(g(x)) = ?

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.

Learn more about composite function here: brainly.com/question/20379727

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