Question

The quotient of the identity function by the reciprocal function is given by

• A. $ {{x}^{2}}\,\forall \,\,x\,\in \,R $ (set of real numbers)
• B. $ \frac{1}{{{x}^{2}}}\,\,\forall \,\,x\in R-\{0\} $
• C. $ {{x}^{2}}\,\,\forall \,\,x\in R-\{0\} $
• D. $None\, of \,the \,above$

Answer 1

Answer: (C)

We know that An identify function is,
$ f(x)=x\,\,\,\forall x\in R $ and Reciprocal function is,
$ g(x)=\frac{1}{x}\,\forall x\in R-\{0\} $
$ \therefore $ Quotient
$ =\frac{f(x)}{g(x)}=\frac{x}{(1/x)}={{x}^{2}}\forall x\in R-\{0\} $