Find the values of a and b that make f continuous everywhere. f(x) = x^2 − 4 / x − 2 if x < 2 ax^2 − bx + 3 if 2 ≤ x < 3 4

Question

PilotLPTM [1.2K]

3 years ago

14

Find the values of a and b that make f continuous everywhere. f(x) = x^2 − 4 / x − 2 if x < 2 ax^2 − bx + 3 if 2 ≤ x < 3 4

x − a + b if x ≥ 3

Mathematics

1 answer:

inysia [295] · Answer 1 · 2022-02-26T21:41:41+03:00

inysia [295]3 years ago

4 0

<span>Find the values of a and b that make f continuous everywhere. f(x) = x^2 − 4 / x − 2 if x < 2 ax^2 − bx + 3 if 2 ≤ x < 3 4x − a + b if x ≥ 3 </span>
a=7/12
b=13/2