we are given with two functions f(x) = 5x − 3 and g(x) = x + 4. we are asked to evaluate f(g(x)) and g(f(x)). For the first one, f(g(x)) = 5*(x + 4) − 3 = 5x + 20 -3 = 5x + 17. For the second one, g(f(x)) = 5x − 3 + 4 = 5x + 1. when we substitute 1 to both functions, f(g(1))) = 5*1 + 17 = 22; g(f(1)) = 5*1 + 1 = 6. Hence the answer is A. f(g(x)) produces the greatest output
