Determine c so that f (x) is continuous on the entire real line if f (x) = x^2 when x3 ... ?

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

Answer: c = 27.