Question

x-1, x<3
For what value of a is f(x) =
continuous at every x?
2ax, x23​

Answer 1

Step-by-step explanation:

f(x) = {x^2-1,x<3 2ax,x≥3}

if x< 3 → x^2–1 at x=3 → x^2–1 = (3)^2–1 =9–1 = 8

if x>=3 → 2ax at x=3 → 2a(3) = 6a

if 8=6a then the function is continuous.

→ if a = 8/6 = 4/3 then the function is continuous at every ´x´.