Question

PLZ HELP, DUE TONIGHT!! Find the values of a and b such that f(x) is continuous at x=1

Answer 1

• a = 2, b = -4

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:

• 2 - b = 6
• b = -4