For the function f (x) = 5x-3 and g (x) = x+4 which composition produces the greatest output

F (g (x)) = 5 (x+4) - 3

= 5x+20-3

= 5x+17

G (f (x)) = 5x-3+4

= 5x+1

Therefore, f composed of g produces the greatest output.

The first one: 5 (x+4) - 3=5x+20-3=5x+17

the second one: 5x-3+4=5x+1

when you substitute 1 with both the functions: 5*1+17=22 and 5*1+1=6

the answer would be: (A) produces the greatest output. i think that is how you do it.