For what value of the constant c is the function f continuous on (-infinity, infinity)?

Question

f(x) = cb + 5 if x < 9

and f(x) = cb^2 - 5 if x ≥ 9

Answer 1

To make f continuous, you need to equate the values at x=9 (You should really take the limit as x approaches 9 from both sides. I assume that b should be x where it appears.

c(9) + 5 = c(9)² - 5 and solve for c.