Think of how you get the canonical sum of products ∑ form from the truth table. It's the rows in truth table for which the output is 1, we consider them as 'minterms' and write something like ABC + A'BC + A'B'C' and so on as SOP.
So, in this question they are asking ..does function for g1 taking in the input variables h0,h1,h2,h3 has the following minterms?
They have given decimal equivalents of the minterm. So, in the table check where g1 is 1 and the decimal equivalent of gray code h3h2h1h0 is the minterm.
Do this for all g0,g1,g2,g3 and match with options.