SOLUTION: f(x) is an even function. Determine if g(x)=-f(x)+1 is an even, odd or neither 1

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Question 1051045: f(x) is an even function.
Determine if g(x)=-f(x)+1 is an even, odd or neither
1

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
f(x) is an even function.
Determine if g(x)=-f(x)+1 is an even, odd or neither
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If f(x) is even, f(x) = f(-x)
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Examine g(x) = -f(x)+1
g(-x) = -f(-x)+1 = -f(x)+1
-g(-x) = f(x)-1
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Note:: g(-x) = g(x), so g(x) is even
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Cheers,
Stan H.
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