Help with simulating distributions

[sneaky666]

Help with simulating distributions...

Homework Statement

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?

Homework Equations

The Attempt at a Solution

a)
Is it
Y=min(x:F(x)>=u)
Do i need to simplify this more?

 

[jbunniii]

I would start by differentiating the cdf F(x) to get the pdf f(x).