Answer:
g(k + 1) = k² - 2k - 3
Step-by-step explanation:
Step 1: Plug in (k + 1) in for x
g(k + 1) = (k + 1)² - 4(k + 1)
Step 2: FOIL
g(k + 1) = k² + 2k + 1 - 4(k + 1)
Step 3: Distribute
g(k + 1) = k² + 2k + 1 - 4k - 4
Step 4: Combine like terms
g(k + 1) = k² - 2k - 3
