A certain transform has a simple pole at s20, a simple zero at sg, and a scale

A certain transform has a simple pole at s¼20, a simple zero at s¼g, and a scale factor of K ¼ 1. Select values for g so the inverse transform is

(a) f ðtÞ ¼ dðtÞ  5e20t

(b) f ðtÞ ¼ dðtÞ

(c) f ðtÞ ¼ dðtÞ þ 5e20t