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For the function F defined by F(x)=x2−2x+4, find F(2b−1).

For the function F defined by F(x)=x2−2x+4, find F(2b−1).
asked 175k views
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For the function F defined by F(x)=x2−2x+4, find F(2b−1).

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User Justinxreese
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2 Answers

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f(x) = x^2 -2x +4\\\\f(2b-1) = (2b-1)^2 -2(2b-1) +4\\\\~~~~~~~~~~~~~= (2b)^2 - 2(2b)+1 - 4b +2 +4 \\\\~~~~~~~~~~~~~=4b^2 -4b +7-4b\\\\~~~~~~~~~~~~~=4b^2 -8b +7\\

answered
User Irish
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7.6k points
5 votes

Answer:

F(2b-1)=4b^2-8b+7

Explanation:

F(x)=x^2-2x+4

F(2b-1)=(2b-1)^2-2(2b-1)+4

F(2b-1)=4b^2-8b+7

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User Claudijo
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