fog(x)=x²-x what is f(x) and g(x)​

Answer 1

fog(x) can be rewritten as f(g(x)), which allows for an easier visual to the problem. This has to do with composite functions, so the g(x) is the function that was substituted into each of the x of f(x). Therefore:

fog(x) = f(g(x)) = x² - x

f(x) = x² - x

g(x) = x

This can be verified by replugging to check, where f(x) is the outer function and g(x) is the input function.

f(g(x)) = x² - x = (g(x))² - (g(x)) = (x)² - (x) = x² - x