Question

If 'f' is given by f (x)= { k²x-k if ≥ 1.
2 if x <1 is continuous function on R then Find the value of k​

Answer 1

ANSWER

LHS=k

2

−k

f=2

For continuity, we have

k

2

−k−2=0

(k−2)(k+1)=0

Hence,

k=2,

k= -1

Thank you