Respuesta :

Answer:

D. Reciprocal

Step-by-step explanation:

The equation [tex]f (x) = \frac{1}{2x}[/tex] represent Reciprocal functions .

What is parent function?

A parent function is the simplest function that still satisfies the definition of a certain type of function. For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x. This is the simplest linear function.

Types of  parent function :

  • Constant Functions
  • Linear Functions
  • Quadratic Functions
  • Cubic Functions
  • Absolute Value Functions
  • Radical Functions
  • Exponential Functions
  • Logarithmic Functions
  • Reciprocal Functions

What is Reciprocal Functions?

Reciprocal functions are functions that contain a constant numerator and x as its denominator. Its parent function is y = 1/x.

According to the question

Type of parent function does the equation represent

[tex]f (x) = \frac{1}{2x}[/tex]

As we know in this denominator is having x (variable) and numerator is constant

so ,

According to the Reciprocal functions :

functions that contain a constant numerator and x as its denominator. Its parent function is y = 1/x.

Hence, the equation [tex]f (x) = \frac{1}{2x}[/tex] represent Reciprocal functions .

To know more about parent function and Reciprocal functions  here:

https://brainly.com/question/18599661

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