Answer:
[tex]k=-4[/tex]
Step-by-step explanation:
we know that
In order for the function be continuous , the function f(x)=2kx+1 must be equal to the function f(x)=kx^2-3x for the value of x=1
so
For x=1
[tex]2kx+1=kx^2-3x[/tex]
substitute the value of x and solve for k
[tex]2k(1)+1=k(1)^2-3(1)[/tex]
[tex]2k+1=k-3[/tex]
[tex]2k-k=-3-1[/tex]
[tex]k=-4[/tex]
