Final answer:
The function (9 - 1)(x) can be simplified to 8x.
Step-by-step explanation:
The function (9 - 1)(x) can be simplified by using the distributive property of multiplication over subtraction. The distributive property states that for any numbers a, b, and c, a * (b - c) = a * b - a * c.
Applying this property to the given function, we have (9 - 1)(x) = 9x - 1x = 8x.
Therefore, function H(x) = 8x defines (9 - 1)(x).