Problem

Given the function f(x)=x2+3x4, express f(x+2) as an equation.

Answer

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Answer

Simplify the equation to get f(x+2)=x2+7x+6

Steps

Step 1 :Substitute x+2 into the original function f(x), we get f(x+2)=(x+2)2+3(x+2)4

Step 2 :Expand the equation to get f(x+2)=x2+4x+4+3x+64

Step 3 :Simplify the equation to get f(x+2)=x2+7x+6

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