Answer:
Step-by-step explanation:
To make the given piecewise function continuous we need:
- ax² - b = 6 and 5ax + b = 6 at x = 1
It gives us the system:
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
Sum of the two:
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
Then b is:
