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.
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:
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