Determine c so that f(x) is continuous on the entire real line if f(x)= x^2 when x< =3 and c/x when x> 3

F(x) = x^2  if x ≤ 3

f(x) = c /x    ... if x > 3

Contidition of continuity => Lim f(x) when x approaches 3 from the right side equals f(3).

f(3) = x^2 = 9

Lim c/ x when x -> 3+  = c/3

Then c / 3  = 9 => c = 3*9 = 27

c = 27.

Iwould say 48 bc the line of x is the line of 6 so 6×6=48