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For the given functions f and g find f•g and state it’s domain

f(x) = 3x - 6; g(x) = 8x +4

For The Given Functions F And G Find Fg And State Its Domain Fx 3x 6 Gx 8x 4 class=

Sagot :

MrRoyal

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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