Thick. They don’t give the same performance. D. I think that’s it since there is no real answer
A. f(g(x)) produces the largest output
G(f(x)) = 5x-3+4 = 5x+1 Therefore, f composed of g produces the greatest output.
Answer 7
We have two functions f(x) = 5x − 3 and g(x) = x + 4. We are asked to calculate f(g(x)) and g(f(x)). For the first, f(g(x)) = 5*(x + 4) − 3 = 5x + 20 -3 = 5x + 17. For the second, g(f(x)) = 5x − 3 + 4 = 5x + 1. when we substitute 1 in the two functions, f(g(1))) = 5*1 + 17 = 22; g(f(1)) = 5*1 + 1 = 6. So the answer is A. f(g(x)) produces the largest output
F(g(x)) produces the highest output
(f+g)(x) = 5x – 3 + x + 4 = 6x + 1 (fg)(x) = 5x – 3 – x – 4 = 4x – 7 (f*g)(x) = (5x- 3)((x+4) = 5x^2 + 20x – 3x – 12 = 5x^2 + 17x – 12 There is also the quotient (f/g)(x) and the compositions f(g(x)) and g( f(x)) Write them in. Then you can arbitrarily select x values, like 2, 10, etc., replace them in each composition, and determine which output is higher.