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Anvisha [2.4K]
3 years ago
14

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

Mathematics
1 answer:
Sedaia [141]3 years ago
6 0

Answer:

  • a = 2, b = -4

Step-by-step explanation:

<u>To make the given piecewise function continuous we need:</u>

  • ax² - b = 6 and 5ax + b = 6 at x = 1

<u>It gives us the system:</u>

  • a(1²) - b = 6 ⇒ a - b = 6
  • 5a(1) + b = 6 ⇒ 5a + b = 6

<u>Sum of the two:</u>

  • a - b + 5a + b = 6 + 6
  • 6a = 12
  • a = 2

<u>Then b is:</u>

  • 2 - b = 6
  • b = -4
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