Diketahui f(x)=5x+1 dan g(x)=2(3-2x) . Fungsi (f-g)(x)=dots

(f - g)(x) = 9x - 5

This question is regarding composite functions. The two given functions are f(x) = 5x + 1 and g(x) = 2(3 - 2x). The question is to find the composite function (f - g)(x). To do this, you firstly take away the function g(x) from f(x). The key is to apply subtraction operations to both functions and bind them together.Let's do it step by step:Step 1: Write down the equations: f(x) = 5x+1 and g(x) = 2(3-2x).Step 2: Open the bracket for g(x): g(x) = 6 - 4xStep 3: The composite function (f - g)(x) = f(x) - g(x), You substitute for every occurrence of f andg based on the given equations.Step 4: (f - g)(x) = (5x+1) - (6 - 4x)Step 5: resolve confusion of negative value for later variable after subtraction(f - g)(x) = 5x + 1 - 6 + 4xStep 6: Group the x terms together and constants together.