Answer:
Option C - ![f(x)=\frac{1}{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7Bx%7D)
Step-by-step explanation:
To find : Which of the following is the reciprocal parent function?
Solution :
The reciprocal function is in the form of rational function and negative exponent form.
The parent equation of reciprocal function is,
![f(x)=\frac{1}{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7Bx%7D)
It can be written as,
The domain of this function is all real numbers except 0 and range is all real number except zero.
Therefore, the correct option is C.
The function in option A and B are polynomial functions.
The function in option D is a modulus function.