Question

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

Answer 1

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.

Answer 2

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.