Let f(x) be a function whose domain is the set of real numbers, for which f(0)=1 , and such that for any pair of real numbers x and y we have :

f( xy + 1 ) = f(x) f(y) - f(y) -x + 2

Determine the formula for f(x) .

Thank you very much for your help!!! I appreciate it!

2. For $x=y=0$ we have $f(1)=2$.
For $y=0$ we have $f(x)=x-1+f(1)$.
Then $f(x)=x+1$.