Could someone help me on this assignment question.

F(x)= -x+b, if x<2

1, if x=2

(-4/(x-b))-3, if x>2(and x cannot equal b)

For what value(s) of b does f have a removable discontinuity at 2?

For what value(s) of b does g have an infinite discontinuity at 2?

For what value(s) of b does f have a (finite) jump discontinuity at 2 in interval notation.