For each of the following c.d.f F, find a formula for X in terms of U, such that if U~Uniform[0,1], then X has c.d.f F.

a)

F(x) =

0 if 0 x<0

x if 0<=x<=1

1 if x>1

b)

F(x) =

0 if 0 x<0

x^2 if 0<=x<=1

1 if x>1

c)

F(x) =

0 if 0 x<0

(x^2)/9 if 0<=x<=3

1 if x>3

How do I solve these?