Filling Question
If y=f(x) is an even function in its domain R, then f(1+\sqrt{2})-f(\dfrac{1}{1-\sqrt{2}})=
Steven Zheng
posted 2 years ago
Answer
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Since f(x) is an even function, f(x)=f(-x)
f(\dfrac{1}{1-\sqrt{2}})=f(-(1+\sqrt{2})=f(1+\sqrt{2} )
Therefore,
f(1+\sqrt{2})- f(\dfrac{1}{1-\sqrt{2}})=0
Steven Zheng
posted 2 years ago