continuous random variable

Let X be a continuous random variable with pdf 𝑓(𝑥) and cdf 𝐹(𝑥). Show that thefunction below is the pdf of X.
𝑔(𝑥) = {𝑓(𝑥)/(1 − 𝐹(𝑥0); 𝑓𝑜𝑟 𝑥 ≥ 𝑥0
0; 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒