已知fx是一次函数,且满足3f[x+1]-2f[x-1]=2x+17,则fx=[ ]

2025-01-01 06:41:30
推荐回答(1个)
回答1:

f(x)=ax+b
3f(x+1)-2f(x-1)
=3[a(x+1)+b]-2[a(x-1)+b]
=3ax+3a+3b-2ax+2a-2b
=ax+5a+b
=2x+17
既ax=2x,5a+b=17
a=2,b=7
f(x)=2x+7