Final answer:
To find the movement or combination of the two functions, add or subtract them. The sum is 3x^2 + 4x - 4 and the difference is -x^2 - 6x - 8.
Step-by-step explanation:
The given equations are:
f(x) = x^2 - x - 6
g(x) = 2x^2 + 5x + 2
To find the movement or the combination of the two functions, we can add or subtract them.
To find the sum of the two functions, we simply add the corresponding terms:
f(x) + g(x) = (x^2 - x - 6) + (2x^2 + 5x + 2) = 3x^2 + 4x - 4
To find the difference of the two functions, we subtract the corresponding terms:
f(x) - g(x) = (x^2 - x - 6) - (2x^2 + 5x + 2) = -x^2 - 6x - 8
Therefore, the movement or combination of the two functions is given by:
f(x) + g(x) = 3x^2 + 4x - 4
f(x) - g(x) = -x^2 - 6x - 8