Respuesta :

A compound function is when the output of one function is used as the input of another function. If we have a function ff and another function gg, the function fg(x)fg(x) is called "ff of gg of xx" or "fgfg of xx" and is a composition of the two functions.

The order in which functions are applied is important. Find the function of the function. If you have two or more functions, there can be many different permutations of those functions, giving you many different composite functions.

fg(x)fg (x) can be written f[g(x)] f[g(x)] to indicate that the inner function should be applied before the outer function.

Solution:

Your problem → f(x)=x/2, g(x)=-2x+4, Find f(g(x))

f(x)=x2, g(x)=-2x+4, fog(x)=?

g(x)=-2x+4, f(x)=x2

fog(x)=f(g(x))

=f(-2x+4)

=-2x+42

=-x+2

fog(x)=-x+2

More problems related to functions are given in the link below.

https://brainly.com/question/20527725?referrer=searchResults

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