Problem
ALG-B1-M08-P001 Find f(0)
#1
★☆☆☆☆ Level 1 of 5
A function \(f:\mathbb R\to\mathbb R\) satisfies \(f(x)+f(-x)=2\) for all \(x\). Find \(f(0)\).
Substitute \(x=0\).
At \(x=0\), we get \(f(0)+f(0)=2\), so \(2f(0)=2\). Hence \(f(0)=1\).
A very short problem on the habit of starting with zero.