Problem
ALG-B1-M12-P004 Variant 1, Problem 4
#4
★★☆☆☆ Level 2 of 5
Find all linear \(f(x)=ax+b\) such that \(f(x+1)=f(x)+3\).
Compare coefficients.
We get \(a=3\), \(b\) arbitrary. Answer: \(f(x)=3x+b\).
Mock olympiad problem. Tags: linear-functions.