Question

For the functions f(x)=2x-6 and g(x)=5x+1 Which conposition produces the greatest output?

Answer 1

(f o g)(x) = 2(5x + 1) - 6 =  10x - 4

(g o f)(x) = 5(2x - 6) + 1 =  10x - 29


So (f o g)(x) produces the greatest output.