Respuesta :

Answer:

f(x + 1) = 3x² + 5x + 7

Step-by-step explanation:

To find f(x + 1), substitute x = x + 1 into f(x), that is

f(x + 1) = 3(x + 1)² - (x + 1) + 5 ← expand (x + 1)² using FOIL

           = 3(x² + 2x + 1) - x - 1 + 5 ← distribute parenthesis by 3

           = 3x² + 6x + 3 - x - 1 + 5 ← collect like terms

           = 3x² + 5x + 7

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