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
Correct Answer: C
Solution :
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 \[=\frac{f(x)}{g(x)}=\frac{x}{(1/x)}={{x}^{2}}\forall x\in R-\{0\}\]
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