下列哪一個函數能滿足g(x)=g(-x)
A.g(x)=x^3
B.g(x)=-x
C.g(x)=x^2+x
D.g(x)=x^4+x^2
請詳細解釋
函數function
2007-10-29 1:50 am
回答 (2)
2007-10-29 1:55 am
✔ 最佳答案
答案是D.g(-x) = (-x)^4 + (-x)^2 = x^4 + x^2 = g(x)
For A, (-x)^3 = -x^3 = -g(x)
For B, -(-x) = x = -g(x)
For C, (-x)^2 + (-x) = x^2 - x 不等於x^2 + x
2007-10-29 1:56 am
By replacing x into -x
A. g(-x)=(-x)^3=-x^3 =/=x^3=g(x)
A is wrong
B. g(-x)=-(-x)=x =/= -x=g(x)
B is wrong
C.g(-x)=(-x)^2+(-x)=x^2-x =/= x^2+x =g(x)
C is wrong.
D.g(-x)=(-x)^4+(-x)^2=x^4+x^2=g(x)
D is the answer
A. g(-x)=(-x)^3=-x^3 =/=x^3=g(x)
A is wrong
B. g(-x)=-(-x)=x =/= -x=g(x)
B is wrong
C.g(-x)=(-x)^2+(-x)=x^2-x =/= x^2+x =g(x)
C is wrong.
D.g(-x)=(-x)^4+(-x)^2=x^4+x^2=g(x)
D is the answer
收錄日期: 2021-04-13 18:13:19
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