Answer:
C. f(g(x)) produces the greater output.
Step-by-step explanation:
ƒ(x) = 2x - 6
g(x) = 5x + 1
f(g(x)} = 2(5x + 1) - 6 = 10x + 2 - 6 =10x - 4
g(f(x)) = 5(2x- 6) + 1 = 10x - 30 + 1 = 10x - 29
f(g(x)) - g(f(x)) = 10x - 4 - (10x -29) = 10x - 4 - 10x + 29 = 25
f(g(x)) is always 25 units greater than g(f(x)), no matter the value of x.
Thus f(g(x)) produces the greater output.