Question
Let $f:\mathbb{R}\to\mathbb{R}$ be a differentiable function that satisfies the relation $f(x+y)=f(x)+f(y)-1,\forall x,y\in\mathbb{R}$. If $f'(0)=2$, then $|f(-2)|$ is equal to ___________.
Correct Answer
3
Let $f:\mathbb{R}\to\mathbb{R}$ be a differentiable function that satisfies the relation $f(x+y)=f(x)+f(y)-1,\forall x,y\in\mathbb{R}$. If $f'(0)=2$, then $|f(-2)|$ is equal to ___________.