Question

已知f(1+x)=3x+2,求函数f(x)的解析式 请写出详细解答过程，谢谢你。

Answer 1

解举和：令t=1+x,得清答链答孙x=t-1,
所以f(t)=3(t-1)+2=3t-1,
即f(t)=3t-1,
利用相同函数定义得f(x)=3x-1;
不知你是否明白？

Answer 2

f(1+x)=3(x+1)-1所以f(x)=3x-1

Answer 3

first step:
let say y = 1+x,
then x = y -1,

second step:
substitute both above equations into
f(1+x)=3x+2,
obtain f(y)=3(y-1)+2,
simplify it and get f(y)=3y-1,

third step:
change the variable y to x, get f(x)=3x-1.

Final:
Hence, f(x)=3x-1.