Let a function be defined as f(x)= cases x+m,& x 1 2mx-1,& x>1 cases If is surjective…

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let a function

f

be defined as

f: \mathbb{R} \rightarrow \mathbb{R}

f(x)=\begin{cases}x+m,& x\le 1\\2mx-1,& x>1\end{cases}

f

is surjective then find real values of

m