Respuesta :

The f(g(x)) is 5x +14 and g(f(x)) is 5x -2 if the ​f(x)=5x-6 and ​g(x)=x+4 which represents the combination of the function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

​f(x)=5x-6  and

g(x)=x+4

f(g(x)) = 5(x+4)-6

f(g(x)) = 5x+20-6

f(g(x)) = 5x +14

g(f(x)) = (5x - 6) +4

g(f(x)) = 5x -2

Thus, the f(g(x)) is 5x +14 and g(f(x)) is 5x -2 if the ​f(x)=5x-6 and ​g(x)=x+4 which represents the combination of the function.

Learn more about the function here:

brainly.com/question/5245372

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