For the functions f (x) = 5x - 3 and g (x) = x + 4, which composition produces the greatest output? A. f (g (x)) produces the greatest output. B. g (f (x)) produces the greatest output. C. Both compositions produce the same output. D. Neither composition produces an output.

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