Question

已知函数f(x)=(m-2)x^6+(m-1)x^3+3是偶函数求实数m的值

Answer 1

f(x)=(m-2)x^6+(m-1)x^3+3

f(-x)=(m-2)x^6+(1-m)x^3+3

f(x)=f(-x)

2(m-1)x^3=0

m-1=0

m=1