Question

Please answer and show work

Answer 1

`k=-4`

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

`2kx+1=kx^2-3x`

substitute the value of x and solve for k

`2k(1)+1=k(1)^2-3(1)`

`2k+1=k-3`

`2k-k=-3-1`

`k=-4`