contestada

Function c is defined by the equation c(n)=50+4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. What is the inverse function.

Respuesta :

Answer:

(x - 50 / 4) = y

Step-by-step explanation:

On photo

Ver imagen rjuradoastor

To find the inverse function, you will have to write n in terms of c (which means number of visits as function of monthly cost).

The inverse function would be:

[tex]n = \dfrac{c-50}{4}[/tex]

Given that:

  • c(n) = 50 + 4n
  • c is monthly cost in dollars, of visiting a gym.
  • n is the number of visits.

To find:

Inverse function of given function.

What is inverse function and when is it possible to find such function?

The inverse function of f is a function of f which can remove the effect of f on its input.

Inverse is only possible if the function f is bijective (one to one correspondence, which means one input to one output uniquely and one output is connected to only one input by mapping f)

Since the given function is a linear function and not a  vertical line, thus, one input n uniquely maps to one output cost and one cost uniquely is obtained by one and only one value of n.

Finding the inverse function of c(n) = 50 + 4n:

[tex]cost = 50 + 4n\\ 4n = cost - 50\\\\ n = \dfrac{\text{c - 50}}{4} \text{\: (assuming cost to be denoted by c)}[/tex]

Thus, we have the inverse function of given function as:

[tex]n = \dfrac{c-50}{4}[/tex]

Learn more about inverse functions here:

https://brainly.com/question/1422702

Otras preguntas