Question

find the relationship between A and B so that the function is Defined by FX = x square - 1 if x less than or equal to 2 X + 3 is X greater than or equal to 2​

Answer 1

Given f(x)={

ax+1ifx≤3

bx+3ifx>3

Given function is continious at x=3

When lim

x→3

l(x)=l(3)

⇒3b+3=3a+1

⇒3a−3b=2

⇒a−b=

3

2

∴a−b=

3

2