Given the uniform stochastic variable $U$ defined on the interval [0,1]. Using $U$, define a continuous stochastic variable $X$ with probability density function (PDF) $$f_X(x) = \begin{cases} \frac{1}{x^2}, & \text{for x $\geq$1} \\ 0, & \text{otherwise} \end{cases}$$
Now I now that the uniform distribution $U$ has PDF $$f_U(x) = \begin{cases} 1, & \text{for x $\in$ [0,1]} \\ 0, & \text{otherwise} \end{cases}$$ and cumulative distribution function (CDF) $$F_X(x) = \begin{cases} 0, & \text{for x $\leq$0} \\ x, & \text{for x $\in$ [0,1]} \\ 1, & \text{for x $\geq$ 1} \end{cases}$$
However, I have no idea on how to construct $X$ using $U$. Any idea?