(f-g)(x) is x² - 3x - 7
Step-by-step explanation:
- Step 1: Given details are f(x) = 3x + 1, g(x) = x² - 6
- Step 2: Calculate (f-g)(x) by using the formula (f-g)(x) = f(x) - g(x)
⇒ (f-g)(x) = (3x + 1) - (x² - 6)
⇒ (f-g)(x) = -x² + 3x + 1 + 6
⇒ (f-g)(x) = x² - 3x - 7
