Define by f(x)= cases kx+3,& x 0

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

Problem

Define

f: \mathbb{R}\to \mathbb{R}

by

f(x)=\begin{cases}kx+3,& x\ge 0,\\ x^{2}+1,& x<0.\end{cases}

Find all real values of

k

for which

f

is bijective.

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