Fill Question

If y=f(x) is an even function in its domain R, then f(1+\sqrt{2})-f(\dfrac{1}{1-\sqrt{2}})=

Collected in the board: Function

Steven Zheng Steven Zheng posted 4 days ago

Answer

  1. 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 Steven Zheng posted 4 days ago

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