题目内容
已知函数f(x)=ex-e-x+1(e是自然对数的底数),若f(a)=2,则f(-a)的值为( )
| A.3 | B.2 | C.1 | D.0 |
∵f(x)=ex-e-x+1,
f(a)=2,
∴ea-e-a+1=2,
∴ea-e-a=1,
∴f(-a)=e-a-ea+1=-(ea-e-a)+1=-1+1=0.
故选D.
f(a)=2,
∴ea-e-a+1=2,
∴ea-e-a=1,
∴f(-a)=e-a-ea+1=-(ea-e-a)+1=-1+1=0.
故选D.
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