A function is defined by
f(x)={x2−9x2−x−6if x≠3kif x=3f(x) = \begin{cases} \dfrac{x^2 - 9}{x^2 - x - 6} & \text{if } x \neq 3 \\ k & \text{if } x = 3 \end{cases}f(x)=⎩⎨⎧x2−x−6x2−9kif x=3if x=3
where kkk is a number you get to choose.
Which value of kkk makes fff continuous at x=3x = 3x=3?
Select all that apply.
000
56\dfrac{5}{6}65
No value of kkk works — the fraction is undefined at x=3x = 3x=3, so the break can never be repaired.
65\dfrac{6}{5}56