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

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 \leq 1 \\ 2mx - 1 & x > 1 \end{cases}

f

is surjective then find real values of

m