Special straight line method and so on.
Column:. F(x) is known as a linear function.
And f(f(x))=4X+3.
a*=4
Solution: let f (x) = ax+b.
Then f (x) = f (ax+b) = a (ax+b)+b = a * x+ab+b = 4x+3.
∴ab+b=3
The solution is a=2.
b= 1
or
a=-2
b=-3
The analytic formula of the original function is f(x)=2x+ 1.
Or f(x)=-2x-3.