Answer:
Explanation:
f(x) = x² - 2x g(x) = x + 8
a) (f+g)(x) means add the 2 equations
(f+g)(x) = x² - 2x + x + 8
(f+g)(x) = x² - x + 8
b) (f-g)(x) means subtract the 2 equations
(f-g)(x) = ( x² - 2x) - (x + 8) >Distribute negative
(f-g)(x) = x² - 2x - x - 8
(f-g)(x) = x² - 3x - 8
c) (fg)(x) means multiply the 2 equations
(fg)(x) = (x² - 2x) (x + 8) >Foil
(fg)(x) = x³ + 8x² -2x²-16x
(fg)(x) = x³ + 6x² - 16x
d) (f/g)(x) means divide the 2 equations
(f/g)(x) = (x² - 2x)/(x + 8)