3 years ago

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:

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

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