Answer :
The composition of f and g, represented as (f∘g)(x), is found by substituting g(x) into f(x), by which we obtain 27x + 33 as the result, which isn't listed among the provided options.
The subject of this question is mathematics, specifically the topic of function composition.
Given two functions f(x) =9x - 3 and g(x) =3x + 4, the student is asked to find fg, also known as the composition of the functions f and g.
This means applying the function g to the function f, represented as (f∘g)(x).
The composition of f and g is found by substituting g(x) into f(x) which is denoted as (f∘g)(x) = f(g(x)).
So, plugging g(x) into our function f(x), we get-
[tex](f∘g)(x) = f(3x+4) \\= 9*(3x+4) - 3 \\= 27x +36 - 3 \\= 27x + 33[/tex]
Therefore, none of the given options seems to be the correct solution for the composite function fg.
Learn more about the topic of Function Composition here:
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