设F(X)=(X)的平方+(M-3)X-3上偶函数则M=?

问题描述:

设F(X)=(X)的平方+(M-3)X-3上偶函数则M=?

F(X) = X^2 + (M-3)X - 3
F(-X) = X^2 - (M-3)X -3 = X^2 + (M-3)X - 3 = F(X)
2(M-3)X = 0
M = 3