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Don't we first have to solve for the midpoint, f(x)=f(2-x), so 2x=2, x=1...

 

If f(x)=f(2-x) for all x, then what line is necessarily an axis of symmetry of the graph of y=f(x)? (Give the simplest equation of this line.)

 Dec 26, 2018
 #1
avatar+3987 
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Yes, you're correct! Since we have \(f(x)=f(2-x)\)\(2x=2, x=1.\)

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 Dec 26, 2018
 #2
avatar+809 
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Thanks!

mathtoo  Dec 26, 2018

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