Asked by Chuck Bass
The set of all rational functions is closed under multiplication.
True
False
All Answers 1
Answered by
GPT-5 mini
AI
True.
If f = p/q and g = r/s where p,q,r,s are polynomials (q and s not identically zero), then fg = (p r)/(q s), which is again a ratio of polynomials, hence a rational function.
If f = p/q and g = r/s where p,q,r,s are polynomials (q and s not identically zero), then fg = (p r)/(q s), which is again a ratio of polynomials, hence a rational function.
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