Let $g(x)=\begin{cases}\sqrt{x+3}, & x<1,\\ kx+m, & 1\le x<4,\\ 2x-3, & x\ge 4.\end{cases}$ …

Mathematics

Problem

Let

g(x)=\begin{cases}\sqrt{x+3}, & x<1,\\ kx+m, & 1\le x<4,\\ 2x-3, & x\ge 4.\end{cases}

The constants

k

and

m

are required to be integers. What is the least integer value of

k

for which such an integer

m

exists that makes

g

continuous on

\mathbb R

? a)

0

3

1

2