Question

如果函数y=三分之二x平方2+(3m-2)x-二分之一m-1是偶函数,那么m=

Answer 1

f(x)=2x²/3+(3m-2)x+m/2-1

偶函数f(-x)=f(x)

2x²/3-(3m-2)x+m/2-1=2x²/3+(3m-2)x+m/2-1

2(3m-2)x=0

3m-2=0

m=2/3