Answer
The frequency range of X-rays is $6.0\times 10^{16}Hz -3.0\times 10^{19}Hz$
Work Step by Step
The minimum frequency of X-rays is given as
$f_{min}=\frac{c}{\lambda_{max}}$
We plug in the known values to obtain:
$f_{min}=\frac{3\times 10^{8}}{5\times 10^{-9}}=6.0\times 10^{16}Hz$
The maximum frequency of X-rays is given as
$f_{max}=\frac{c}{\lambda_{min}}$
We plug in the known values to obtain:
$f_{max}=\frac{3\times 10^{8}}{10\times 10^{-11}}=3.0\times 10^{19}Hz$