To solve the equation f(x+1)=2+(3(x+1)-(x+1)^2 step by step, we need to expand and simplify the expression on the right-hand side of the equation.
Step-by-step explanation:
To solve the equation f(x+1)=2+(3(x+1)-(x+1)^2 step by step, we need to expand and simplify the expression on the right-hand side of the equation. Let's break it down:
First, distribute the 3 to the terms inside the parentheses:
f(x+1) = 2 + 3x + 3 - (x^2 + 2x + 1)
Next, combine like terms:
f(x+1) = 5x + 4 - x^2 - 2x - 1
Finally, simplify further:
f(x+1) = -x^2 + 3x + 3
The probable question can be: Solve - f(x+1)=2+(3(x+1)-(x+1)^2
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