【公務員試験001】国家公務員II種試験

実数の関数 \(\it f\) (\(\it x\))が

　● \(\it f\) (\(\it a\)\(\cdot\)\(\it b\))＝\(\it f\) (\(\it a\))\(\cdot\)\(\it b\)＋\(\it a\)\(\cdot\)\(\it f\) (\(\it b\))

　● \(\it f\) (1)＝0

を満たすとき，\(\it f\) \(\left(\displaystyle \frac{1}{a}\right)\)を，\(\it a\)，\(\it f\) (\(\it a\))を用いて表わせ．

★\(\it a\) ＝ 0 の場合の処理は？★