The function is (c) (f.g)(x) = 24x^2 - 36x - 24; domain of all set of real numbers
How to determine the composite functions?
The given parameters are:
f(x) = 3x - 6; g(x) = 8x +4
The composite function is calculated as:
(f.g)(x) = f(x) * g(x)
This gives
(f.g)(x) = (3x - 6) * (8x + 4)
Expand
(f.g)(x) = 24x^2 + 12x - 48x - 24
Evaluate the difference
(f.g)(x) = 24x^2 - 36x - 24
The above function is a quadratic function;
Quadratic functions have a domain of all set of real numbers
Hence, the function is (c) (f.g)(x) = 24x^2 - 36x - 24; domain of all set of real numbers
Read more about composite functions at:
https://brainly.com/question/10687170
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